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MATHEMATICAL MODELS and

METHODS in APPLIED SCIENCES

Proceedings of the 13th WSEAS International Conference on

Mathematics and Computers in Biology and Chemistry (MCBC '12)

Proceedings of the 13th WSEAS International Conference on

Mathematics and Computers in Business and Economics (MCBE '12)

"G. Enescu" University, Iasi, Romania

June 13-15, 2012

Published by WSEAS Press

www.wseas.org ISBN: 978-1-61804-098-5

MATHEMATICAL MODELS and

METHODS in APPLIED SCIENCES

Proceedings of the 13th WSEAS International Conference on

Mathematics and Computers in Biology and Chemistry (MCBC '12)

Proceedings of the 13th WSEAS International Conference on

Mathematics and Computers in Business and Economics (MCBE '12)

"G. Enescu" University, Iasi, Romania

June 13-15, 2012

Published by WSEAS Press

www.wseas.org

All the copyright of the present book belongs to the World Scientific and Engineering Academy and

system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or

otherwise, without the prior written permission of the Editor of World Scientific and Engineering Academy

and Society Press.

All papers of the present volume were peer reviewed by no less that two independent reviewers.

Acceptance was granted when both reviewers' recommendations were positive.

See also: http://www.worldses.org/review/index.html

ISBN: 978-1-61804-098-5

World Scientific and Engineering Academy and Society

MATHEMATICAL MODELS and

METHODS in APPLIED SCIENCES

Proceedings of the 13th WSEAS International Conference on

Mathematics and Computers in Biology and Chemistry (MCBC '12)

Proceedings of the 13th WSEAS International Conference on

Mathematics and Computers in Business and Economics (MCBE '12)

"G. Enescu" University, Iasi, Romania

June 13-15, 2012

Editors:

Prof. Razvan Raducanu, Al. I. Cuza University, Romania

Prof. Nikos Mastorakis, Technical University of Sofia, Bulgaria

Prof. Reinhard Neck, Klagenfurt University, Austria

Prof. Vincenzo Niola, University of Naples "Federico II", Italy

Prof. Ka-Lok Ng, Asia University, Taiwan

International Program Committee Members:

Young-Rae Cho, USA

Justin Choi, USA

Juan Cui, USA

Qinghua Cui, China

PhuongAn Dam, USA

Bhaskar DasGupta, USA

Keith Decker, USA

Xiyi Hang, USA

Hwan Gue Cho, Korea

Robert Harrison, USA

Morihiro Hayashida, Japan

Jieyue He, China

Vasant Honavar, USA

Paul Horton, Japan

Hui-Huang Hsu, Taiwan

Wen-Lian Hsu, Taiwan

Daniel Brown, Canada

Dongbo Bu, China

Jeremy Buhler, USA

Debra Burhans, USA

Kenneth Barner, USA

Luonan Chen, China

Jianlin Cheng, USA

Jung-Hsien Chiang, Taiwan

Francis Y. L. Chin, Hong Kong

Wai-Ki Ching, China

Raymond Chan, China

Ting-Fung Chan, China

Hao-Teng Chang, Taiwan

Hsun-Hsien Chang, USA

Kun-Mao Chao, Taiwan

Colin Dewey, USA

Ye Duan, USA

Daniel Berrar, Northern Ireland

Chengpeng Bi, USA

Paola Bonizzoni, Italy

Yongwei Cao, China

Tatsuya Akutsu, Japan

Srinivas Aluru, USA

Aijun An, Canada

Yuan An, USA

Kiyoshi Asai, Japan

Timothy L. Bailey, Australia

Jun Hu, China

Xiaohua Hu, USA

Zhang-Zhi Hu, USA

Chun-Hsi Huang, USA

Hongzhan Huang, USA

Jimmy Huang, Canada

Joshua Zhexue Huang, China

Yufei Huang, USA

Seiya Imoto, Japan

Ravi Janardan, USA

Liping Jing, China

Jaewoo Kang, Korea

Frank Eisenhaber, Singapore

Martin Frith, Japan

Kazuhiko Fukui, Japan

Jean Gao, USA

Dianjing Guo, China

Jun-tao Guo, USA

Mao-zu Guo, China

Nancy Guo, USA

Dongsup Kim, South Korea

Hyunsoo Kim, USA

Ju Han Kim, Korea

Seungchan Kim, USA

David P. Kreil, Austria

Rui Kuang, USA

T. W. Lam, Hong Kong

Wai Lam, China

Kin-Hong Lee, China

Kwong-Sak Leung, China

Guo-Zheng Li, China

Guojun Li, USA

Jiexun Li, USA

Jing Li, USA

Xiaoman Shawn Li, USA

Zhoujun Li, China

Li Liao, USA

Hongfei Lin, China

Huiqing Liu, USA

Juan Liu, China

Lei Liu, China

Xiong Liu, USA

Zhenqiu Liu, USA

Zhi-Ping Liu, China

Yi Lu, USA

Feng Luo, USA

Ping-Chiang Lyu, Taiwan

YingHua Ma, China

Malika Mahoui, USA

Keith Marsolo, USA

Osamu Maruyama, Japan

Hideo Matsuda, Japan

Bernard M. E. Moret, Switzerland

Radhakrishnan Nagarajan, USA

Kenta Nakai, Japan

Seungyoon Nam, Republic of Korea

Michael Ng, China

See-Kiong Ng, Singapore

Michael Ochs, USA

Motonori Ota, Japan

Tun-Wen Pai, Taiwan

Hyun S. Park, Republic of Korea

Jian Pei, Canada

Vinhthuy Phan, USA

Mihai Pop, USA

Mihail Popescu, USA

Sven Rahmann, Germany

Sanguthevar Rajasekaran, USA

Nini Rao, China

Dietrich Rebholz-Schuhmann, UK

Chandan Reddy, USA

Gail Rosen, USA

Jianhua Ruan, USA

Carolina Ruiz, USA

Russell Schwartz, USA

Alberto Maria Segre, USA

Hagit Shatkay, Canada

Bairong Shen, China

Jue Shi, China

Xiaohu Shi, China

Sagi Snir, Israel

Hyeon-Seok Son, Korea

Jing Sui, USA

Hao Sun, China

Wing-Kin Sung, Singapore

Sing-Hoi Sze, USA

Kai Tan, USA

Haixu Tang, USA

Duygu Ucar, USA

Slobodan Vucetic, USA

Jane Wang, USA

Jason Wang, USA

Junwen Wang, China

Li-San Wang, USA

Lipo Wang, Singapore

Rui-Sheng Wang, China

Wei Wang, USA

Xiujie Wang, China

Yu-Ping Wang, USA

Dongqing Wei, China

Limsoon Wong, Singapore

Man-Hon Wong, China

Fang Xiang Wu, Canada

Ling-Yun Wu, China

Yufeng Wu, USA

Zhengzheng Xing, Canada

Jinbo Xu, USA

Lei Xu, China

Hong Yan, China

Hui Yang, USA

Qiang Yang, China

Yunming Ye, China

Yanbin Yin, USA

Kevin Yip, Hong Kong

S. M. Yiu, Hong Kong

GongXin Yu, USA

Jingkai Yu, China

Weichuan Yu, China

Erliang Zeng, USA

Aidong Zhang, USA

Kaizhong Zhang, Canada

Xuegong Zhang, China

Patrick Xuechun Zhao, USA

Xing-Ming Zhao, China

Zhongming Zhao, USA

Huiru Jane Zheng, UK

Wei Zhong, USA

Bin Zhou, Canada

Changsong Zhou, China

Xiaobo Zhou, USA

Dongxiao Zhu, USA

Xiaoqin Zou, USA

Valerie V. Cross, USA

Yuhui Shi, China

Yafia Radouane, Morocco

Eduardo A. Castro, Argentina

Sk. Sarif Hassan, India

Guohui Yao, USA

Morris Adelman, USA

Sidney S. Alexander, USA

Robert L. Bishop, USA

Glenn Loury, USA

Fernando Alvarez, USA

Mark J. Perry, USA

Leon O. Chua, USA

Brian A. Barsky, USA

K. R. Rao, USA

Bimal K. Bose, USA

Joseph Sifakis, France

Sidney Burrus, USA

Biswa Nath Datta, USA

Panos Pardalos, USA

Ronald Yager, USA

Stamatios Kartalopoulos, USA

Lotfi A. Zadeh, USA

Nikos E. Mastorakis, Bulgaria

Gamal Elnagar, USA

Stephen Anco, Canada

Adrian Constantin, Sweden

Ying Fan, China

Juergen Garloff, Germany

Y. Jiang, UK

Massimiliano Ferrara, Italy

Rozalia Nistor, Romania

Dragos Ilie, Romania

Sorinel Capusneanu, Romania

Zhang Tao, Macao

Changiz Valmohammadi, Iran

Snjezana Pivac, Croatia

Katarina Curko, Croatia

Larisa Dragolea, Romania

Additional Reviewers:

Montri Phothisonothai

Pavel Varacha

Muhammet Koksal

Ali Dashti shafiei

Karim Shirazi

Mehdi Seyyed Almasi

Manuela Panoiu

Santoso Wibowo

Andrzej Zak

Arianit Maraj

Alejandro Fuentes-Penna

Chunwei Lu Wini Lu

Mohammad Alshraideh

Mohd Helmy Abd Wahab

Hime Aguiar

K K Mishra Mishra

Bautu Elena

Claudio Guarnaccia

Mário Cesar do Espirito Santo Ramos

Michele Della Ventura

John Cater

Konstantin Volkov

Shu Dai

Larion Alin

Jose Alberto Duarte Moller

Petr Hajek

Zengshi Chen

Ioana Csaki

Muhammad Musaddique Ali Rafique

Catalin Croitoru

Balcu Florina

Dalia Simion

Capusneanu Sorinel

Dumitru-Alexandru Bodislav

Arion Felix

Chirita Mioara

Jordi Andreu

Amin Daneshmand Malayeri

Aw Yoke Cheng

Nikos Loukeris

Catalin Popescu

Takuya Yamano

Ana Barreira

Ladislav Tyll

Peter Chu

Vassos Vassiliou

Yin-Tsuo Huang

Humberto Varum

Lester Ingber

Ali Hennache

Corina Sbughea

Badea Ana-Cornelia

Tiberiu Socaciu

Yang Zhang

Vipul Arvindbhai Shah

Valentina E. Balas

Collin, Howe Hing Tang Tang

Ioan Susnea

Sorin Ioan Deaconu

Alina Adriana Minea

Farhad Mehran

Miroslav Voznak

Hung-Jen Yang

Mihai Timis,Mihai

Rocco Furferi

Matteo Palai

Inácio Fonseca

Tejinder Saggu

Guoxiang Liu

Mahesh Chavan

Ardavan Rahimian

Vipin Balyan

Sudha Bhuvaneswari Kannan

Hsin-Jang Shieh

Svetla Vassileva

Dalibor Biolek

Ankit Patel

Corina Carranca

Claudia A.F. Aiub

Sorin Gherghinescu

Francisc Popescu

Ioana Diaconescu

Diana-Elena Alexandru

Andrei Madalina-Teodora

Muntean Mihaela-Carmen

Francisco Diniz

Gheorghe Grigoras

Catarina Luisa Camarinhas

Hui Wang

Goran Koracevic

Carlos Rivas-Echeverria

Alexander N. Pisarchik

Khin Wee Lai

Mohammad Al-Amri

Lai Khin Wee

Preface

This year the 13th WSEAS International Conference on Mathematics and Computers in Biology

and Chemistry (MCBC '12) and the 13th WSEAS International Conference on Mathematics and

Computers in Business and Economics (MCBE '12) were held at "G. Enescu" University, Iasi,

Romania, June 13-15, 2012. The conferences provided a platform to discuss molecular

dynamics, bioinformatics, signal transduction, bioengineering, chemical engineering, economic

systems, business management, financial accounting, risk management and risk analysis, digital

marketing, business law, labor economics, international trade, banking sector etc. with

participants from all over the world, both from academia and from industry.

Their success is reflected in the papers received, with participants coming from several countries,

allowing a real multinational multicultural exchange of experiences and ideas.

The accepted papers of these conferences are published in this Book that will be sent to

international indexes. They will be also available in the E-Library of the WSEAS. Extended

versions of the best papers will be promoted to many Journals for further evaluation.

Conferences such as these can only succeed as a team effort, so the Editors want to thank the

International Scientific Committee and the Reviewers for their excellent work in reviewing the

papers as well as their invaluable input and advice.

The Editors

Table of Contents

Keynote Lecture 1: Solving Initial Value Problems of Multivariable Parabolic Systems via

Expectation Values: Probabilistic Evolution, Exactness and Approximants

Metin Demiralp

Plenary Lecture 1: Limiting Behaviour of a SIS Epidemic Model with Environmental

Stochasticity

David Greenhalgh

Plenary Lecture 2: Partial differential equations in biosubstance crystalization 17

Jelenka Savkovic-Stevanovic

Plenary Lecture 3: Mathematical models for different chemical processes 18

Alina Bă rbulescu

Plenary Lecture 4: Controlling Cardiac Alternans via Point Stimulation Versus Far-Field Pacing 19

John W. Cain

Plenary Lecture 5: Variational Treatment of Screened Coulomb Potentials: The Yukawa

Potential

N. A. Baykara

Plenary Lecture 6: Business Intelligence Approaches 21

Mihaela I. Muntean

Plenary Lecture 7: Controlling Digital Ecosystems for Sustainable Development 22

Calin I. Ciufudean

Plenary Lecture 8: Equilibria of the games in choice form 23

Massimiliano Ferrara

Plenary Lecture 9: Innovative methods for improving portfolio management based on artificial

intelligence instruments

Gabriela Prelipcean

Plenary Lecture 10: Deterministic and stochastic model for the analysis of the asset price 25

Mihaela Neamtu

Plenary Lecture 11: The Impact of Flexicurity Policies on Romanian Employment 26

Daniela Zirra

Univariate Single Quantum Harmonic Oscillator from Probabilistic Evolution Perspective 27

N. A. Baykara, Ercan Gurvit, Metin Demiralp

Empowering Fluctuation Free Integration via Contour Integration: Circular Contours 33

Ercan Gurvit, N. A. Baykara, Metin Demiralp

Mathematical Models and Methods in Applied Sciences

Conicalization of the Probabilistic Evolutions for the Ordinary and Forced Van der Pol Equation

under Given Initial Conditions

Fatih Hunutlu, N. A. Baykara, Metin Demiralp

Convergence of Probabilistic Evolution Truncation Approximants via Eigenfunctions of

Evolution Operator

Cosar Gozukirmizi, Metin Demiralp

Models for Pollutants Evolution in an Urban Area 51

Alina Bă rbulescu, Lucica Barbes

Probabilistic Evolution for the Most General First Order Single Unknown Explicit ODEs:

Autonomization, Triangularization, and, Certain Important Aspects in the Analysis

Semra Bayat, Metin Demiralp

Probabilistic Evolution in Purely Second Order One Unknown Autonomous Explicit ODEs under

Initial Conditions

Tugba N. Ozturk, Metin Demiralp

Controlling Cardiac Alternans via Point Stimulation Versus Far-Field Pacing 69

John W. Cain

Biomaterials for restoration 79

Radmila Stevanovic

Chemical Reaction with Diffusion 85

M. Stevanovic-Huffman, J. Savkovic-Stevanovic

Biotransformation of the Toxic Chemical Substances 91

Jelena Djurovic

Computing Methods for Chemical Reaction Analysis and Control 96

Jelenka Savkovic-Stevanovic

The Chemical System Characterization 102

Tatjana Mošorinac

Adopting Statistical Methods for Assessing the Adjustment of Employees Potential to Needs

Identified by Organization

108

D. Barilla, G. Caristi, B. Czerniachowicz, A. Puglisi

A Laplace Type Problem for Delone Sessadecagonal Lattice with Obstacles 124

G. Caristi, M. Stoka

Analysis of the Critical Path within a Project with WinQSB Software 131

Gurau Marian Andrei, Melnic Lucia Violeta

Law as a System of Proportions and Symmetries 136

Massimiliano Ferrara, Angelo Roberto Gaglioti

A Link between Economic Crisis and Chaos Control 141

Ali Sanayei, Fraydoon Rahnamay Roodposhti, Taghi Torabi, Alina Barbulescu

Mathematical Models and Methods in Applied Sciences

Unique Links in Graphs 146

F. Ghionea, M. Pirvan

Stages and Symptoms of Industrial Sickness - A Mathematical Model Applied to a Few Small

Scale Industrial Units in NE Indian State of Assam

152

Deepak Goswami, Padmalochan Hazarika, Kandarpa Kumar Sarma

Free Business Intelligence – An Easy and Reliable Alternative 158

Târnă veanu Diana, Muntean I. Mihaela

Deterministic and Stochastic Model for the Analysis of the Asset Price 165

Mihaela Neamtu, Gabriela Mircea, Dumitru Opris

Dynamical Evolutionary Games with Delay 170

Nicoleta Sîrghi, Mihaela Neamtu, Dumitru Opris

Influence Factors of Cyclical Fluctuations: Consumption, Investment and Currency. Study Case

for Romania Between 1995 and 2009

176

Laura Cismaş , Ruxandra Pitorac, Mihaela Neamtu

Stock Market Indices Prediction Using Time Series Analysis 180

Alina Bă rbulescu, Iulia Ilie

Expert Systems as Adjuncts in Assessing the Interpretation of Print Advertisements by Potential

Customers

186

Ciprian-Viorel Pop, Diana-Aderina Moisuc, Nela Steliac, Anca-Petruta Nan

Business Intelligence Approaches 192

Mihaela I. Muntean

Reliable Control of Convergence in Monte Carlo Pricing Methods for Options based on MSPE

Technique

197

Roberto Mosca, Lucia Cassettari, Pier Giuseppe Giribone

Innovative Methods for Improving Portfolio Management Based on Artificial Intelligence

Instruments

207

Gabriela Prelipcean

Authors Index 214

Mathematical Models and Methods in Applied Sciences

Keynote Lecture 1

Solving Initial Value Problems of Multivariable Parabolic Systems via Expectation Values:

Probabilistic Evolution, Exactness and Approximants

Professor Metin Demiralp

Principal Member of Turkish Academy of Sciences

Istanbul Technical University

Informatics Institute

Turkey

E-mail: metin.demiralp@be.itu.edu.tr

Abstract: There is an abundancy of systems characterized by parabolic PDEs in science and engineering, especially

in chemistry and physics. These systems have a scalar variable, we generally call time, defining the evolution of the

system under consideration. The governing equation(s) involves the unknown(s) and their first order partial

derivative(s) with respect to this variable. Time variant Schrodinger equations where the unknown is the wavefunction

which is responsible for the probability density for the system and Liouville equations for the statistical mechanics

where the unknown is somehow responsible for a density in the systems' phase space (here we use the plurality

since both case may differ from Hamiltonian to Hamiltonian). Certain PDE(s), depending on so-called spatial

coordinates, govern the behavior of the system in these and similar cases even though the

partial differential equation nature is not necessarily needed. Hence we give the following equation for more

abstractioning

where we call the unknown entity ψ(t) "wavefunction" by following the quantum mechanical tradition despite ψ(t) need

not be a true function. It may be anything like vector, matrix, function, or, operator as long as it lies in an appropriately

defined Hilbert space. In this sense it has the abstract meaning "vector" (but not necessarily a Cartesian vector). L

stands for a linear operator (which is not necessarily a partial differential operator) mapping from the Hilbert space,

where ψ(t) lies, to the same space. Even though it is not explicitly shown here the system is characterized by certain

operators we call "System Operators" like the positions and momenta in the case of quantum mechanics. We denote

these operators by s1,...,sn or in a shorthand notation s. One way to solve the equation in (1) is to find the vector ψ(t)

which may be not so technically easy as its first glance appearence implies even when b L does not explictly depend

on t. This autonomy is not so much greater limitation since it can be provided for us even (1) is nonautonomous at the

expense of extending the space spanned by ψ(t) to a higher dimension. The second possibility is the utilization of the

expectation values of the system operator s and its outer powers. This excludes the determination of ψ(t) but

necessitates the evaluation of the expectation values for all nonnegative outer powers of the state operator. A vector

ODE is constructed for each outer power of the state vector by

using (1). However, the action of the commutator with L on each outer power is required. By following the general

property encountered in the traditional cases we represent these actions in terms of certain Taylor expansion in outer

powers of the state operator. Thus we arrive at an infinite set of ODEs with an infinite constant coefficient matrix we

call "Evolution Matrix". The formal solution of this set of ODEs can be obtained in terms of a time variant exponential

matrix over the Evolution Matrix and the initial value vector. Talk focuses on certain details of these and some related

ιssues.

Brief Biography of the Speaker:

Metin Demiralp was born in Turkiye (Turkey) on 4 May 1948. His education from

elementary school to university was entirely in Turkey. He got his BS, MS degrees and PhD from the same institution,

ÿIstanbul Technical University. He was originally chemical engineer, however, through theoretical chemistry, applied

mathematics, and computational science years he was mostly working on methodology for computational sciences

and he is continuing to do so. He has a group (Group for Science and Methods of Computing) in Informatics Institute

of ÿIstanbul Technical University (he is the founder of this institute).

Mathematical Models and Methods in Applied Sciences

He collaborated with the Prof. Herschel A. Rabitz's group at Princeton University (NJ, USA) at summer and winter

semester breaks during the period 1985–2003 after his 14 month long postdoctoral visit to the same group in 1979–

1980. He was also (and still is) in collaboration with a neuroscience group at the Psychology Department in the

University of Michigan at Ann Arbour in last three years (with certain publications in journals and proceedings).

Metin Demiralp has more than 90 papers in well known and prestigious scientific journals, and, more than 200

contributions to the proceedings of various international conferences. He gave many invited talks in various

prestigious scientific meetings and academic institutions. He has a good scientific reputation in his country and he is

one of the principal members of Turkish Academy of Sciences since 1994. He is also a member of European

Mathematical Society. He has also two important awards of turkish scientific establishments.

The important recent foci in research areas of Metin Demiralp can be roughly listed as follows: Probabilistic Evolution

Method in Explicit ODE Solutions and in Quantum and Liouville Mechanics, Fluctuation Expansions in Matrix

Representations, High Dimensional Model Representations, Space Extension Methods, Data Processing via

Multivariate Analytical Tools, Multivariate Numerical Integration via New Efficient Approaches, Matrix

Decompositions, Multiway Array Decompositions, Enhanced Multivariate Product Representations, Quantum Optimal

Control.

Mathematical Models and Methods in Applied Sciences

Plenary Lecture 1

Limiting Behaviour of a SIS Epidemic Model with Environmental Stochasticity

Professor David Greenhalgh

Reader in Mathematics and Statistics

University of Strathclyde

Glasgow

E-mail: david.greenhalgh@strath.ac.uk

Abstract: In this talk we extend the classical SIS (susceptible-infected-susceptible) epidemic model from a

deterministic one to a stochastic one and formulate it as a stochastic differential equation (SDE) for I(t), the number of

infectious individuals at time t. An SIS model is an epidemic model in which a typical individual starts off as

susceptible, at some stage catches the disease and after an infectious period becomes susceptible again. Such

models are often used for sexually transmitted diseases such as gonorrhoea, or bacterial diseases such as

pneumococcus. We survey some relevant deterministic and stochastic models in the literature. We then formulate our

basic model. The stochasticity is introduced as a Brownian motion in the disease transmission coefficient

(equivalently in the contact rate of infected individuals). This models the effect of random environmental variation.

After deriving the SDE for the spread of the disease we then prove that this SDE has a unique positive solution.

For the deterministic model classical results show that there is a unique threshold value R0D, the deterministic basic

reproduction number, such that if R0D is less than or equal to one then the disease will die out and if R0D exceeds

one then the disease tends to a unique endemic equilibrium. We show that for the stochastic model there is a smaller

threshold value R0S and provided that a condition involving the variance of the stochastic noise is satisfied then the

disease will die out almost surely (a.s.) for R0S<1. We conjecture that in fact the variance condition is not necessary.

If R0S>1 then we show that the disease will fluctuate about a strictly positive level a.s. We discuss the connection

between some limiting values of the stochastic threshold R0S and the deterministic threshold R0D. We then show

that if R0S>1 the SDE SIS model has a unique non-zero stationary distribution and derive expressions for the mean

and variance of this stationary distribution.

All the theoretical results are illustrated and confirmed by numerical simulations. We finish by discussing two real-life

examples: first gonorrhoea amongst homosexuals and second pneumococcus amongst Scottish children under two

years old.

Brief Biography of the Speaker: David Greenhalgh graduated from Cambridge University, Cambridge, UK, in 1980

with a First Class Honours degree in Mathematics. In 1981 he took Part III Mathematics also at Cambridge University

in which he gained a distinction. He remained at Cambridge for his PhD in Operational Research which he completed

in 1984. His PhD thesis was entitled 'Stochastic Models for Control of Epidemics'.

From Cambridge he moved to the Department of Pure and Applied Biology at Imperial College, London, UK, where

he was awarded a Medical Research Council (MRC) Research Training Fellowship to work with Professor R. M.

Anderson FRS, a leading international expert on epidemiology. He moved to the Department of Mathematics,

Strathclyde University, Glasgow, UK in 1986 as a Lecturer. Since then he has been promoted to Senior Lecturer in

1997 and Reader in 2003. He currently holds the position of Reader in the recently formed Department of

Mathematics and Statistics at Strathclyde University.

Dr. Greenhalgh has research interests in mathematical biology and epidemiology. He is an international expert in

mathematical epidemiology and has around thirty years experience in this area. He has collaborated with world

leading researchers in mathematics and epidemiology such as Professor Klaus Dietz (Germany), Professor Odo

Diekmann (The Netherlands), Professor Istvan Gyori (Hungary) and Professor Xuerong Mao (Scotland). He has

published around eighty papers in international refereed journals, seven book articles and over seventy conference

papers. He is on the editorial board of fourteen international journals, two as Associate Editor. He has served, and

currently still serves, on the UK Engineering and Physical Sciences (EPSRC) Mathematics Peer Review College and

has served on many UK MRC Panels. These are two of the most prestigious grant giving bodies in the UK. He has

also been awarded substantial research funding from a diverse range of sources. He has supervised seventeen

research students, fifteen at PhD level. He is widely involved in the organisation of international conferences and has

given over thirty invited talks, including plenary talks, at international meetings.

Mathematical Models and Methods in Applied Sciences

Plenary Lecture 2

Partial differential equations in biosubstance crystalization

Professor Jelenka Savkovic-Stevanovic

Department of Chemical Engineering

Faculty of Technology and Metallurgy

Belgrade University

Serbia

E-mail: savkovic@tmf.bg.ac.rs

Abstract: A new perspective for predicative care in living organism will be presented. The purpose of this lecture to

develop a complementary approach to measuring ones, based on mathematical tool. A complex functions with partial

differential equations have been applied for autonomous behaviour of biocrystal growth consideration. Design of

functional complex system has been illustrated using the associated projections with a set of properties. The

distribution function specifies spatial coordinates and set of properties. The biosubstance crystals formation has been

considered and their distribution function was derived. Behaviour function of crystal growth and designing granulation

has been examined. Crystals population in a perfectly mixed volume with product removal and without product

removal has been considered. A distribution function of the complex structure can be defined with geometric

velocities, and time rate of change properties. The method involving the general balance with correspond to the

integral formulation. The mathematical model which taking a distribution function of crystal properties can generate

evolutionary algorithm for design of complex structure. This model has been applied to indicate crystal structure

formation of an enzyme and an amino acid. These results have been illustrated power of the new complex model for

crystal particles birth and death simulation. Simulation has been performed in dynamic and steady state operation

under variable loading conditions.

Brief Biography of the Speaker: Jelenka Savkovic-Stevanovic is a full professor at the University of Belgrade,

Faculty of Technology and Metallurgy, Serbia. Education: B.Sc. and M.Sc. degree, Faculty of Technology and

Metallurgy, University of Belgrade, PhD University of Belgrade and Technical University of Berlin. At the Faculty of

Technology and Metallurgy was elected for assistant 1971st, docent 1982nd, associate professoe 1988th, and full

professor 1993rd. She has worked in U.S.A. from 1994 to 1998.

Her research interests include Chemical systems, Biochemical systems, Chemical engineering, Process system

engineering, Modelling, Analysis, Synthesis, Design, Optimization; Advanced numerical methods, Data base, Expert

systems, Learning Systems; Informatics; Artificial Intelligence, Neural Networks and Fuzzy Systems; Biosystems,

Biomedicine, Bioinformatics and Biomedical informatics, and Toxicity. Professor Savkovic-Stevanovic is author of

numerous papers, invited books chapter, books, patentees in the field (over 800). Consultant in many companies.

She has many awards and honors. She is cited in many monographs and she is one of the world's 100 top Scientists

of the IBC-International bibliographic Centre, Cambridge, 2007. The best one Ultimate Achiever-IBC Cambridge,

2009, 2010,2011 and 2012. She had the best paper on the 2nd WSEAS Inter. Conf. on Biomedical Electronics and

Biomedical Informatics-BEBI2009, Moscow, Russia, August, 20-22,2009 and the best paper on the WSEAS Inter.

Conf. on Mathematics and Computers in Biology and Chemistry-MCB2010, Iasi, Romania, June, 13-15, 2010. She is

Amabasadsor of Serbia for Sciences, Communications and Arts.

Mathematical Models and Methods in Applied Sciences

Plenary Lecture 3

Mathematical models for different chemical processes

Professor Alina Bă rbulescu

Ovidius University of Constanta

Department of Mathematics and Computer Science

Romania

E-mail: abarbulescu@univ-ovidius.ro

Abstract: Mathematics plays an important role in solving real life problems. Chemistry is one of the main sciences

that benefits from the development of new mathematical techniques for modelling the experimental data. In this talk I

shall present two different types of approaches for determination of models for data collected in industrial

environment, comparing the classical approaches with the new ones from the artificial intelligence and emphasizing

the advantages of each method by the results of our research.

Brief Biography of the Speaker: Alina Bă rbulescu graduated from the University of Craiova, Romania (Faculty of

Mathematics) and from Petre Andrei University of Iasi, Romania (Faculty of Law). After a PhD in Mathematics, from

Al I Cuza University of Iasi and one in Cybernetics and Economic Statistics, from Academy of Economic Studies

Bucharest, Romania, she worked in the field of mathematics and applied statistics. Nowadays she is associate

professor at Ovidius University of Constanta, Faculty of Mathematics and Computer Science. She is author of 18

books and over 90 articles, published in peer rewieved international journal, invited editor for 5 books, being also a

member of editorial boards of International Journal of Mathematics and Computation and International Journal of

Applied Mathematics and Statistics.

Mathematical Models and Methods in Applied Sciences

Plenary Lecture 4

Controlling Cardiac Alternans via Point Stimulation Versus Far-Field Pacing

Associate Professor John W. Cain

Department of Mathematics and Computer Science

University of Richmond

28 Westhampton Way

Richmond, VA 23173, USA

E-mail: jcain2@richmond.edu

Abstract: In cardiac tissue, beat-to-beat alternation of action potential duration (APD) is a warning sign of potentially

serious pathologies. When APD alternans is detected, it is desirable to coax the tissue back to a normal rhythm in

which APD has little beat-to-beat variation. Mathematically, this is can be accomplished by applying feedback control

to stabilize an unstable equilibrium near a periodic (or chaotic) orbit. Clinically, it is accomplished by applying well-

timed electrical stimuli via a medical device such as a pacemaker. Such device intervention can be implemented in

several ways, two of which are point stimulation and far-field pacing (FFP). In point stimulation, the device applies

spatially localized stimuli through the tip of an electrode, whereas in FFP, large plate electrodes apply pulsed electric

fields pulses across the entire heart. FFP creates "virtual" electrodes within the tissue by depolarizing or

hyperpolarizing cells near the boundaries of non-conducting obstacles (e.g., dead tissue) and, if the field strength is

strong enough, propagating action potentials can emanate from these obstacles. In this study, we analyze a particular

feedback control algorithm (extended time-delay autosynchronization, ETDAS) for timing the stimuli in point

stimulation, with the goal of controlling alternans in zero and one-dimensional samples of cardiac tissue (i.e., a single

cell or a long fiber of cells joined end-to-end), as well as the use of ETDAS as a method for timing the stimuli applied

during FFP. Previous theoretical and experimental studies have shown that special cases of ETDAS can terminate

alternans in small, "zero-dimensional" patches of cardiac cells in which spatial extent is negligible; however, those

special cases of ETDAS perform rather poorly in controlling the spatially discordant alternans in one-dimensional

fibers. Here, we explore whether the added robustness of ETDAS can enlarge the spatial domain over which point

stimulation can succeed, ultimately comparing our results with those obtained using FFP.

Brief Biography of the Speaker: John W. Cain graduated from Duke University, Durham, NC, USA in 2005 with a

Ph.D. in Mathematics. From 2005-2011, he served on the mathematics department faculty at Virginia Commonwealth

University and as a Fellow of VCU's Center for the Study of Biological Complexity. In August 2011, Dr. Cain moved to

the University of Richmond, where he is Associate Professor of Mathematics and Computer Science. His scholarly

work lies at the interface of mathematics and medicine, and involves problems in cardiac electrophysiology, dynamics

of biochemical reaction networks, and wound healing. Dr. Cain's research has been featured in interviews with

Science, the American Mathematical Society, and in the Notices of the AMS (April 2011). In addition to his

biomathematics research articles, he has co-authored two textbooks on differential equations, dynamical systems

and bifurcations, both of which are available free-of-charge (by electronic request).

Mathematical Models and Methods in Applied Sciences

Plenary Lecture 5

Variational Treatment of Screened Coulomb Potentials: The Yukawa Potential

Professor N. A. Baykara

Marmara University

Mathematics Department

Istanbul, TURKEY

E-mail: nabaykara@gmail.com

Abstract: The most fundamental equation of Theoretical Chemistry and of Atomic Physics is the Schroedinger

equation for a hydrogen like system. Its solution can be found in any standard textbook on Atomic Physics, Quantum

Chemistry and so on. A similar equation which is somewhat more complicated is the Schroedinger equation for a

particle bound in what is known in the literature as screened Coulomb potential. The screening function that will be

discussed is one which is solely dependent on the radial variable r and is known in the literature as the Yukawa

potential. This potential arises naturally as the position space version of the solution of the Klein-Gordon equation for

a static meson field. It was the deuteron problem which inspired the first solutions to the corresponding eigenvalue

equation. It is commonly known in plasma physics as the "Debye-Hueckel" potential and represents the effect of the

plasma sea on localized two-particle interactions. The Debye-Hueckel potential also approximates the Thomas-Fermi

potential in the calculation of the energy levels of the impurity centers in doped semiconductors. Together with the

Hulten and the exponential potentials the Yukawa potential plays an important role as a good test case in potential

scattering studies also. In quantum chemistry the effect of the core electrons on the valence electrons can be

modeled by means of a linear combination of Yukawa or similar potentials. Various approaches have been made to

attempt to solve the eigenvalue problem associated to the corresponding Schroedinger equation having Yukawa or

similar screened coulomb potentials. Quite a few of these use perturbational and variational techniques. There were

also group theoretical approaches. Direct numerical integration of the corresponding Schroedinger equation were

also employed and quite succesfully so. Regge trajectories were determined via this means or by utilizing continued

fractions. There are of course plenty of other works related to Yukawa potential. The method that will be discussed

during the talk is also based on variational treatment of the radial Schroedinger equation with Yukawa potential. It

employs a Laguerre basis set extended by an extra function. A parameter used in this extra function and its relation

with the energy of the system results in the utilization of an auto-coherent (or self-consistent) scheme. The proposed

method does not only give energy values for the ground and the first few excited states consistently up to thirty digits

but also gives threshold screening parameter values accurate to 15-20 decimal points.

Brief Biography of the Speaker: N. A. BAYKARA was born in Istanbul,Turkey on 29th July 1948. He received a

B.Sc. degree in Chemistry from Bosphorous University in 1972. He obtained his PhD from Salford University, Greater

Manchester, Lancashire,U.K. in 1977 with a thesis entitled "Studies in Self Consistent Field Molecular Orbital

Theory", Between the years 1977–1981 and 1985–1990 he worked as a research scientist in the Applied Maths

Department of The Scientific Research Council of Turkey. During the years 1981-1985 he did postdoctoral research

in the Chemistry Department of Montreal University, Quebec, Canada. Since 1990 he is employed as a Staff member

of Marmara University. He is now a Full Professor of Applied Mathematics mainly teaching Numerical Analysis

courses and is involved in HDMR research and is a member of Group for Science and Methods of Computing in

Informatics Institute of Istanbul Technical University. Other research interests of his for him are "Density Functional

Theory" and "Fluctuationlessness Theorem and its Applications" which he is actually involved in. Most recent of his

concerns is focused at efficient remainder calculations of Taylor expansion via Fluctuation–Free Integration, and

Fluctuation–Free Expectation Value Dynamics.

Mathematical Models and Methods in Applied Sciences

Plenary Lecture 6

Business Intelligence Approaches

Professor Mihaela I. Muntean

West University of Timisoara

Romania

E-mail: mihaela.muntean@feaa.uvt.ro

Abstract: Business Intelligence (BI) is unanimous considered the art of gaining business advantage from data;

therefore BI systems and infrastructures must integrate disparate data sources into a single coherent framework for

real-time reporting and detailed analysis within the extended enterprise. Also the solution to a business problem is a

process that includes business intelligence, BI, by itself, is rarely the complete solution to the problem. Therefore, BI

tools must understand the process and how to be part of it.

In Romania, the growth potential for the BI market is very high, with lot of opportunities and interest determined by the

crisis itself, even if IT budgets had many corrections suffered. The greatest restriction that limits the adoption of a BI

solution is not the technology, but the existence of a limited organizational culture. Subordinated to performance

management, Business Intelligence approaches help firms to optimize business performance. Looking inside the

business and at the environment in which they operate, managers are able to fundament the most productive and

profitable decisions.

Some practice examples will be subject of the debate. Based on the company's information assets, the Business

Intelligence value chain represents a „From DATA To PROFIT" approach and is recommended to ground any

performance management program.

Brief Biography of the Speaker: Currently, professor Mihaela I. Muntean is the chair of the Business Information

Systems Department at the West University of Timisoara and an IT independent consultant. With a background in

Computer Science and a Ph.D. obtained both in Technical Science and in Economic Science (Economic Informatics),

professor Mihaela I. Muntean focused her research activity on topics like information technology, knowledge

management, business intelligence, business information system. Over 70 papers in indexed reviews and conference

proceedings and the involvement with success in 8 multi-annual national research grants/projects are sustaining her

contributions in the research fields mentioned above.

Mathematical Models and Methods in Applied Sciences

Plenary Lecture 7

Controlling Digital Ecosystems for Sustainable Development

Associate Professor Calin I. Ciufudean

"Stefan Cel Mare" Universtity of Suceava

Faculty of Electrical Engineering and Computer Science

Department of Automatics and Computers

ROMANIA

E-mail: calin@eed.usv.ro

Abstract: A digital ecosystem is a distributed adaptive open socio-technical system with properties of self-

organisation, scalability and sustainability. As an emerging field of study, "digital ecosystems" is informed by

knowledge of natural ecosystems and is still being defined. The term is used in the mainly in computer industry, high

tech industries, and academia.

The digital ecosystem initiative has two target groups:

• SMMEs (of any business sector) which need customised ICT applications and services for improving their efficiency

through process and organisation integration and for extending their business beyond local barriers;

• ICT-related organisations: system integrators, service providers, software component developers (with emphasis on

open source communities and open systems developers)

This goal is reached through the implementation of new paradigms which exploit the advantages of the EU

economical structure (based on SMEs and on diversity and local identity), through the implementation of a

sustainable development by protecting the environment.

Humanity has created a hard-to-solve equation:

SCIENCE + TECHNOLOGY = CIVILIZATION + POLLUTION.

The last term of this equation concerns soil pollution, water pollution, air pollution, as well as mental pollution (i.e. the

new dimension of pollution affecting the human emotional intelligence by informational blast). We shall focus on the

measures concerning the European aquis and praxis in environmental management, which have been implemented

in our region.

Translating the above given literal equation into a pure mathematical one is a hard task and even harder is applying

the mathematical equation to practice.

These issues are the subject of a series of grants that I have been working at, together with my students, and which

will be shortly discussed here.

Brief Biography of the Speaker:

• Academic Positions: Assoc. Professor Ph.D. Eng., Dept. of Automatics and Computers, Faculty of Electrical

Engineering and Computer Science, "Stefan cel Mare" University of Suceava, Romania.

• Fields of Scientific Activities: Discrete Event Systems, Complex Measurement Systems, Reliability and Diagnosis of

Control Systems, Environmental Management.

• He published 8 books and over 120 scientific papers in conference proceedings and journals.

• Honor Member of the Romanian Society of Electrical & Control Engineering - Member of the Romanian Technical

Experts Corp.

• Technical Expert of the Romanian Ministry of Justice.

• President of the Romanian Society of Electrical & Control Engineering, Suceava Branch.

• He is a member of the editorial boards of several international scientific journals and conferences of control systems

and electric engineering science. He was designated chairmen at 23 international conferences.

Mathematical Models and Methods in Applied Sciences

Plenary Lecture 8

Equilibria of the games in choice form

Professor Massimiliano Ferrara

Dept. SSGES

University Mediterranea of Reggio Calabria

ITALY

E-mail: massimiliano.ferrara@unirc.it

Abstract: Since in a noncooperative game the players are not allowed to make commitments, any solution should be

self-enforcing i.e. once it is agreed upon, nobody is interested to deviate. The Nash equilibrium (equilibrium point) is

the most important solution concept of the noncooperative game theory and it is defined in terms of the normal form

of a game, as a strategy combination with the property that no player can gain by unilaterally deviating from it. In the

original definition of J.F.Nash, the players options were expressed by utility functions de.ned on the product of the

individual strategy spaces, and the most significant existence results refer to this formalization. Later, the original

definition was extended to cover more general situations met in the noncooperative competitions. This is the case of

the equilibrium of abstract economies (Shafer and Sonnenschein, where the individual preferences are represented

as correspondences. Particularly, such correspondences can be derived from the normal form of a game, but as

primary elements of the model they generalize the earlier representat ions of individual preferences. Motivated by the

problem of the implementation in noncooperative solutions of the voting oper ators, a new concept of equilibrium,

called Nash equilibrium in choice form, has been introduced (Stefanescu and Ferrara). Rephrased in terms of game

strategies and renamed as equilibrium in choice, this concept is discussed in the present paper. The formal

framework for the definition of equilibria in choice is the game in choice form, represented as the family of the sets of

individual strategies and a choice profile. Intuitively, a choice profile speci.es the desirable outputs of each player,

and since each output of the game is associated to a game strategy, it can be represented as a collection of subsets

of the set of all game strategies. Particularly, when the players options are represented by utility functions or by

preference relations, a choice profile may be the family of the graphs of players best reply mappings, and then the set

of equilibria in choice coincides with the set of Nash equilibria. So that, the definition of the equilibrium in choice

captures the main idea of the "best reply" from the definition of the Nash equilibrium, but the new concept is more

general, responding to various representations of the players options. Two variants of this concept are proposed

here. The basic one presumes a relaxation of the best reply principle and has obvious counterparts for classical

solutions, if this relaxation is accepted. The stronger form of the equilibrium in choice can be considered as a generic

notion of noncooperative solution and several usual versions of such solutions are produced when the choice profile

is designed indifferent particular ways.

Brief Biography of the Speaker: Massimiliano Ferrara is Professor of Mathematical Economics at "Mediterranea"

University of Reggio Calabria where he was also Dean of the degree in Economics. Actually he is the Director of

Culture, Education, Research and University Department at Regione Calabria. He was the Founder and Director of

MEDAlics and Vice Rector at "Dante Alighieri" University of Reggio Calabria. He was also Visiting Professor at

Harvard University, Cambridge (USA), Morgan State University in Baltimore (USA), Western Michigan University

(USA), New Jersey Institute of Technology in Newark (NJ) (USA). He was a speaker at several WSEAS international

conferences. He is editor of several international journals: Advances in Management and Applied Economics

(AMAE), African Journal of Science, Technology, Innovation and Development Applied Sciences (APPS),

International Journal of Functional Analysis, Operator Theory and Applicati ons (IJFAOTA), Far East Journal of

Mathematical Sciences (FJMS), Journal of Indian Academy of Mathematics (Jiam), Journal of the Calcutta

Mathematical Society and Universal Journal of Mathematics and Mathematical Sciences. His main research interests

are: dynamical systems, patterns of growth and sustainable development, mathematical economics, game theory,

optimization theory, applied Economics.

Mathematical Models and Methods in Applied Sciences

Plenary Lecture 9

Innovative methods for improving portfolio management based on artificial intelligence

instruments

Professor Gabriela Prelipcean

University "Stefan cel Mare" of Suceava

Romania

E-mail: gprelipcean@yahoo.com

Abstract: Financial markets represent one of the most complex environments for business and there are a lot of

types of external factors which impact their dynamics. The recent financial turbulence materialized by the global

financial crisis 2008-2009 and the European sovereign debt crisis (2010-2012) made serious pressure on financial

markets that proved their fragility and sensitivity in a different manner.

The use of different instruments used on artificial intelligence could be applied in decision making process in financial

markets because they offer a unique capability of learning.

The conventional theories regarding the anticipation of financial markets evolution are represented by the efficient

market hypothesis (Fama, 1970) and the paradigm regarding the methods to anticipate the future performance of

financial assets. The actual interest is to identify optimal strategies for portfolio management by using artificial

intelligence.

The basic steps of incorporating different types of artificial intelligences on the study of the future dynamic of the

performance of different financial assets are the following: the analysis of the strategies used by different portfolio

managers and their performances; the identification of new instruments capable to improve the strategy references;

the selection/ development and testing of the new instrument; the analysis of the differential performance.

Actual artificial intelligence instruments are difficult to create/develop and to use because in this paper will be

presented a new concept in which the basis will be the applicat ion data transformation in order to build different sets

of training artificial neuronal networks in order to optimize/modify in an easy way their behavior. This module for

simulating the artificial neuronal network is improved by using genetic algorithms to se lect the best network regarding

the predictions of the performance of financial instruments, but also the optimal timing in the process of portfolio

management.

Brief Biography of the Speaker: Gabriela Prelipcean graduated in Economic Cybernetics at the Academy of

Economic Studies (1988). Ph.D. in Economics awarded by the Academy of Economic Studies, Bucharest. She is

Professor and PhD coordinator in Economics at "Stefan cel Mare" University of Suceava. Her research and teaching

covered an extended area of Economics and Business, Cybernetics and interdisciplinary domain as Economics of

Disasters, Extreme Risk Events (natural disasters and terrorism), and Economics of Migration. Fellowships awarded

and academic programs: NEC Fellowships, financed by the New Europe College (NEC), Institute for Advanced

Study, Bucharest, 2008-2009; Fulbright Postdoctoral Fellowship, Elizabethtown College, PA, USA, Extreme Events

Risk Management, 2006-2007; Research grant at University of Bologna, Italy, 2001; Visiting professor and

researcher at Institute for the Study of Labor, Bonn, 2009; Visiting Professor, University of Bologna, Italy, 2005;

University of Applied Sciences BFl Vienna, Austria, 2004; University of Bari, University of Modena, Italy, University of

Torino. Participation at Conferences and Symposia in the Economics and Business fields in Romania, USA, France,

Germany, United Kingdom, Italy, Denmark, Greece, Czech Republic, Austria, China, Ukraine, Moldova. Author and

co-author over 10 books, over 60 papers published in professional journals and conference proceedings in Romania

and abroad and a frequent reviewer for international and national conferences and journals and research institutions

and foundations. I have received many research grants and awards as director. One large-scale project was funded

by the European Union. 10 grants and research projects were funded by Romanian sources (CNMP, ANCS,

CNCSIS_Consortiu, IER, CEEX, Security Program etc). The main focus is on: Assessing, Managing, and Financing

Extreme Events; Crisis Management in Natural Disasters and Terrorism; Financial and Currency Crisis, Economic

Crisis, Migration Policies and Remittances; Econometrics. Professional affiliations: Business Excellence (2010-);

SAMRO (2010-); Academy of Management (2007-); Romanian Management Society (2007-); European Association

of Regional Sciences (2004-); Romanian Association of Regional Sciences (2001-); Romanian Statistics Society

(2000-); Romanian General Economists' Associations - AGER (1992-).

Mathematical Models and Methods in Applied Sciences

Plenary Lecture 10

Deterministic and stochastic model for the analysis of the asset price

Professor Mihaela Neamtu

Faculty of Economics and Business Administration

West University of Timisoara

Romania

E-mail: mihaela.neamtu@feaa.uvt.ro

Abstract: This paper develops the analysis on heterogeneous beliefs and rational routes to randomness in discrete-

time models to a continuous-time model of asset pricing. A stochastic model of asset pricing in continuous-time with

heterogeneous agents, who are allowed to switch among two types of strategies, fundamentalists and chartists,

based on accumulated profits of the strategies, is presented. Applying the stability and bifurcation theory of the delay

differential equations, for the deterministic model, the impact of switching and time horizon, used by the chartists on

the market stability, is examined. For the linearized perturbed stochastic system, we identify the differential equations

for the square mean values and we study their dynamics. Some numerical simulations and conclusions are provided.

Brief Biography of the Speaker: Mihaela Neamtu was born in Timisoara (Romania) on 1971. She graduated in

1995 the Faculty of Mathematics, West University of Timisoara. In 2001 she obtained the title of Ph.D in

mathematics. She followed a didactic career at the Faculty of Economics and Business Administration, West

University of Timisoara, Romania and she is currently Professor. She has been a visiting Professor for short periods

of time at The Nottingham Trent University, Economics & Politics (Great Britain) and Faculty of Mathematics, Bonn

(Germany). Professor Mihaela Neamtu has over 80 articles published in Journals and Proceedings of the

International Conferences and 4 monographs; she has been a regular referee of papers for several International

Journals and a reviewer of Mathematical Reviews (MathSciNet). She has been participating in 10 multiannual grants

(1 of them is international), in 8 as a member and in 2 as a director.

Mathematical Models and Methods in Applied Sciences

Plenary Lecture 11

The Impact of Flexicurity Policies on Romanian Employment

Professor Daniela Zirra

Department of Research, Economic Research Centre

Romanian-American University, Bucharest

Romania

E-mail: daniela.zirra@gmail.com

Abstract: In the beginning of years 2010, the aim of public policies is to ensure the balance between flexibility and

security on the labour market, so that: more new jobs should be created; there should be conditions for the lifelong

development of human resources; the skills and competences of workers should be more efficiently employed.

Experience has shown that decreasing job protection has led to new jobs only on the short term. At the same time,

the sole support of flexibility has had a negative impact on the ability of the market to create new jobs in the long run.

During the past few years, we have been confronted with a pronounced segregation of the labour market into two

categories of workers - highly-qualified, well-paid and safely employed individuals, and respectively poorly-qualified,

poorly-paid individuals lacking secure employment - which has served to aggravate the insecurity on the job market

for the second category. In this new context, the goal of this paper is to analyze how all these transformations are

affecting on the one hand the Romanian labour market, and on the other hand the Romanian employment.

Brief Biography of the Speaker: Daniela Zirra is a professor of Economics at Romanian-American University,

Bucharest. She did her undergraduate work in 1996, and received the master degree in Human Resources

Management in 1997, at The Bucharest Academy of Economic Studies. Also, she received her Ph.D. in Economics in

2005 from Romanian Academy, National Institute of Economic Research Bucharest. Her area of expertise is

microeconomics, macroeconomics and investments efficiency. She authored or co-authored over 25 scientific books

or manuals and more than 50 papers published in reviewed journals or presented at international conferences (World

Scientific and Engineering Academy and Society WSEAS; DAAAM International, Vienna, Austria; Faculty of

Economics, South-West University of Neofit Rilski, Blagoevgrad, Bulgaria; International Association of Academies of

Sciences, Ukraine, Kiev, etc.). Until now, she was project manager or member in the project teams in 19 research

projects or grants (national and international). Daniela Zirra is the Director of Economic Research Centre in

Romanian-American University since July 2006. She also had collaborations with Professor Tahereh Hojjat, Ph.D.

from De Sales University, Philadelphia, on Microeconomics courses (on-line) during November 2004 - June 2011.

She was visiting professor in Tietgen Business College, Denmark in September 2010, and also in Kemi-Tornio

University of Applied Sciences, Finland in September 2011.

Mathematical Models and Methods in Applied Sciences

Authors Index

Barbes, L. 51 Mircea, G. 165

Bă rbulescu, A. 51, 141,180 Moisuc, D.-A. 186

Barilla, D. 108 Mosca, R. 197

Bayat, S. 57 Mošorinac, T. 102

Baykara, N. A. 27, 33, 39 Muntean, M. I. 158, 192

Cain, J. W. 69 Nan, A.-P. 186

Caristi, G. 108, 124 Neamtu, M. 165, 170, 176

Cassettari, L. 197 Opris, D. 165, 170

Cismaş , L. 176 Ozturk, T. N. 63

Czerniachowicz, B. 108 Pirvan, M. 146

Demiralp, M. 27, 33, 39 Pitorac, R. 176

Demiralp, M. 45, 57, 63 Pop, C.-V. 186

Djurovic, J. 91 Prelipcean, G. 207

Ferrara, M. 136 Puglisi, A. 108

Gaglioti, A. R. 136 Roodposhti, F. R. 141

Ghionea, F. 146 Sanayei, A. 141

Giribone, P. G. 197 Sarma, K. K. 152

Goswami, D. 152 Savkovic-Stevanovic, J. 85, 96

Gozukirmizi, C. 45 Sîrghi, N. 170

Gurau, M. A. 131 Steliac, N. 186

Gurvit, E. 27, 33 Stevanovic, R. 79

Hazarika, P. 152 Stevanovic-Huffman, M. 85

Hunutlu, F. 39 Stoka, M. 124

Ilie, I. 180 Târnă veanu, D. 158

Melnic, L. V. 131 Torabi, T. 141

Mathematical Models and Methods in Applied Sciences

In this paper, the new forms obtained for Chandrasekhar's H- function in Radiative Transfer by one of the authors both for non-conservative and conservative cases for isotropic scattering in a semi-infinite plane parallel atmosphere are used to obtain exclusively new forms for the first and second derivatives of H-function . The numerics for evaluation of zero of dispersion function, for evaluation of H-function and its derivatives and its zeroth, the first and second moments are outlined. Those are used to get ready and accurate extensive tables of H-function and its derivatives, pole and moments for different albedo for scattering by iteration and Simpson's one third rule . The schemes for interpolation of H-function for any arbitrary value of the direction parameter for a given albedo are also outlined. Good agreement has been observed in checks with the available results within one unit of ninth decimal

the aim of public policies is to ensure the balance between flexibility and security on the labour market, so that: more new jobs should be created; there should be conditions for the lifelong development of human resources; the skills and competences of workers should be more efficiently employed

Abstract

Abstract: In the beginning of years 2010, the aim of public policies is to ensure the balance between flexibility and security on the labour market, so that: more new jobs should be created; there should be conditions for the lifelong development of human resources; the skills and competences of workers should be more efficiently employed.

Until now, she was project manager or member in the project teams in 19 research projects or grants (national and international). Daniela Zirra is the Director of Economic Research Centre in Romanian-American University since

Brief Biography of the Speaker: Daniela Zirra is a professor of Economics at Romanian-American University, Bucharest. She did her undergraduate work in 1996, and received the master degree in Human Resources Management in 1997, at The Bucharest Academy of Economic Studies. Also, she received her Ph.D. in Economics in 2005 from Romanian Academy, National Institute of Economic Research Bucharest. Her area of expertise is microeconomics, macroeconomics and investments efficiency. She authored or co-authored over 25 scientific books or manuals and more than 50 papers published in reviewed journals or presented at international conferences (World Scientific and Engineering Academy and Society WSEAS; DAAAM International, Vienna, Austria; Faculty of Economics, South-West University of Neofit Rilski, Blagoevgrad, Bulgaria; International Association of Academies of Sciences, Ukraine, Kiev, etc.). Until now, she was project manager or member in the project teams in 19 research projects or grants (national and international). Daniela Zirra is the Director of Economic Research Centre in Romanian-American University since July 2006. She also had collaborations with Professor Tahereh Hojjat, Ph.D. from De Sales University, Philadelphia, on Microeconomics courses (on-line) during November 2004 -June 2011. She was visiting professor in Tietgen Business College, Denmark in September 2010, and also in Kemi-Tornio University of Applied Sciences, Finland in September 2011. Mathematical Models and Methods in Applied Sciences ISBN: 978-1-61804-098-5