RECENT ADVANCES on MATHEMATICAL MODELS for

ENGINEERING SCIENCE

Proceedings of the 12th International Conference on Mathematical Biology and Ecology (MABE '15)

Proceedings of the 6th International Conference on Mathematical Models for

Engineering Science (MMES '15)

Michigan State University, East Lansing, MI, USA September 20-22, 2015

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Mathematics and Computers in Science and Engineering Series | 53

ISSN: 2227-4588 ISBN: 978-1-61804-341-2

RECENT ADVANCES on MATHEMATICAL MODELS for ENGINEERING SCIENCE

Proceedings of the 12th International Conference on Mathematical Biology and Ecology (MABE '15) Proceedings of the 6th International Conference on Mathematical Models for Engineering Science (MMES '15) Michigan State University, East Lansing, MI, USA September 20-22, 2015

Published by WSEAS Press www.wseas.org Copyright © 2015, by WSEAS Press All the copyright of the present book belongs to the World Scientific and Engineering Academy and Society Press. All rights reserved. No part of this publication may be reproduced, stored in a retrieval 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.

ISSN: 2227-4588 ISBN: 978-1-61804-341-2

RECENT ADVANCES on MATHEMATICAL MODELS for

ENGINEERING SCIENCE

Proceedings of the 12th International Conference on Mathematical Biology and

Ecology (MABE '15)

Proceedings of the 6th International Conference on Mathematical Models for Engineering Science (MMES '15)

Michigan State University, East Lansing, MI, USA September 20-22, 2015

Editor: Prof. Imre J. Rudas, Obuda University, Hungary Committee Members-Reviewers: Nasser-Eddine Mohamed Ali Tatar Jianqing Chen Josef Diblik Stanislaw Migorski Qing-Wen Wang Luis Castro Alberto Fiorenza Patricia J. Y. Wong Salvatore A. Marano Sung Guen Kim Maria Alessandra Ragusa Gerassimos Barbatis Jinde Cao Kailash C. Patidar Mitsuharu Otani Luigi Rodino Carlos Lizama Jinhu Lu Narcisa C. Apreutesei Sining Zheng Daoyi Xu Ferhan M. Atici Ravi P. Agarwal Martin Bohner Dashan Fan Paolo Marcellini Xiaodong Yan Ming Mei Enrique Llorens Yuriy V. Rogovchenko Yong Hong Wu Angelo Favini Andrew Pickering Guozhen Lu Gerd Teschke Michel Chipot Juan Carlos Cortes Lopez Julian Lopez-Gomez Jozef Banas Ivan G. Avramidi Kevin R. Payne Juan Pablo Rincon-Zapatero Valery Y. Glizer Norio Yoshida Feliz Minhos Mihai Mihailescu Lucas Jodar Dumitru Baleanu Jianming Zhan Zhenya Yan Zili Wu Wei-Shih Du Khalil Ezzinbi Youyu Wang

Satit Saejung Chun-Gang Zhu Mohamed Kamal Aouf Yansheng Liu Naseer Shahzad Janusz Brzdek Mohammad T. Darvishi Ahmed El-Sayed Martin Schechter Yushun Wang Andrei Korobeinikov Jim Zhu Meirong Zhang Lucio Boccardo Shanhe Wu Natig M. Atakishiyev Abdelghani Bellouquid Leszek Gasinski Juan J. Trujillo Tiecheng Xia Noemi Wolanski Hossein Jafari Abdel-Maksoud A Soliman Fasma Diele Charles A. Long Ivana Horova Wolfgang Wenzel Seiji Shibasaki Gary A. Lorigan Ziad Fajloun Nikolai N. Modyanov Dhavendra Kumar Geoffrey Arden Photios Anninos Tuan Pham Lucio Tommaso De Paolis Jean-Michel Jault Hassane Oudadesse Anita H. Corbett Toshiharu Horie Vadim V. Sumbayev Andre Surguchov George Anastassopoulos Rona R. Ramsay Daniel Martins-de-Souza Roberta Chiaraluce George Perry David Brown Gertz I. Likhtenshtein Vivo Turk Makoto Komiyama Hundie Tesfaye Shunsuke Meshitsuka George A. Zachariadis

Table of Contents

Fixed Point Method for Infectious Diseases 9

En-Bing Lin, Patrick Davis, Daniel Ntiamoah

Spline Solution of Linear Hyperbolic Equations 13

Serhat Yılmaz

Diffusion in the Microbial System 19

Jelena Lukic, Slavica Siler-Marinkovic

New Preparation Method of PLA-Based Biomaterials Containing Molecular Iodine Layer on their Surface

25

Goreninskii S. I., Stankevich K. S., Efimova E. V., Danilenko N. V., Tverdokhlebov S. I., Filimonov V. D. Life Environment Diffusion and Respiration 31

Jelena Djurovic

The Application of the Information Theory Methods to the Study of Systems Plant-Soil under Condition of Primary Pedogenesis

37

Vladimir Mukhomorov

Adverse Effects Distribution 47

Rada Pjanovic, Radmila M. Stevanovic

Degradable Systems and Environment 53

Milena Stevanovic-Huffman

Illustration of the Pathways Involved in Association of Genetic Variation and Frame Effect 59

Saba Montazeri, Hamed Taherdoost

Life Chemistry in Detoxification 69

Jelenka Savkovic-Stevanovic, Milena Stevanovic-Huffman

Molecular Modeling of the Biopolymer Formation 75

Jelenka Savkovic-Stevanovic

Flexible Job Shop Scheduling Problem with Co-Evolutionary Quantum Evolutionary Algorithm 81

Liang Zhou, Yu Sun

On the Approaches to Data Analysis and Knowledge Extraction from the Problem-Oriented Data Warehouses on Chemical Kinetics and Thermochemistry

90

Vladimir E. Tumanov

Two-Time Optimal Control with Tzitzeica PDEs Constraints 96

Vasile Arsinte, Constantin Udriste

Recent advances on Mathematical Models for Engineering Science

ISBN: 978-1-61804-341-2 7

Design of a Lateral Motion Controller for a Small Unmanned Aerial Vehicle (SUAV) 102

Ahmed Elsayed Ahmed, A. N. Ouda, Ashraf Hafez, Hossam Eldin Hussein Ahmed, Hala Mohamed Abd-Elkader Application of the Monte Carlo Method for the Determination of Macroscopic Parameters of an Electrical Discharge in O2

108

L. Zeghichi, L. Mokhnache, M. Djebabra

De-Regulation of Bio-activated Enzymes and Drug Resistance: Modeling and Numerical Analysis

113

Mitra Shojania Feizabadi

Authors Index 117

Recent advances on Mathematical Models for Engineering Science

ISBN: 978-1-61804-341-2 8

Authors Index

Abd-Elkader, H. M. 102 Ahmed, A. E. 102 Ahmed, H. E. H. 102 Arsinte, V. 96 Danilenko, N. V. 25 Davis, P. 9 Djebabra, M. 108 Djurovic, J. 31 Efimova, E. V. 25 Feizabadi, M. S. 113 Filimonov, V. D. 25 Goreninskii, S. I. 25 Hafez, A. 102 Lin, E.-B. 9 Lukic, J. 19 Mokhnache, L. 108 Montazeri, S. 59 Mukhomorov, V. 37 Ntiamoah, D. 9 Ouda, A. N. 102 Pjanovic, R. 47 Savkovic-Stevanovic, J. 69, 75Siler-Marinkovic, S. 19 Stankevich, K. S. 25 Stevanovic, R. M. 47 Stevanovic-Huffman, M. 53, 69Sun, Y. 81 Taherdoost, H. 59 Tumanov, V. E. 90 Tverdokhlebov, S. I. 25 Udriste, C. 96 Yılmaz, S. 13 Zeghichi, L. 108 Zhou, L. 81

Recent advances on Mathematical Models for Engineering Science

ISBN: 978-1-61804-341-2 117