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Natali Hritonenko Yuri Yatsenko

Mathematical Modeling in Economics, Ecology and the Environment Second Edition

Springer Optimization and Its Applications VOLUME 88

Managing Editor Panos M. Pardalos (University of Florida) Editor–Combinatorial Optimization Ding-Zhu Du (University of Texas at Dallas) Advisory Board J. Birge (University of Chicago) C.A. Floudas (Princeton University) F. Giannessi (University of Pisa) H.D. Sherali (Virginia Polytechnic and State University) T. Terlaky (Lehigh University) Y. Ye (Stanford University)

Aims and Scope Optimization has been expanding in all directions at an astonishing rate during the past several decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time, one of the most striking trends in optimization is the constantly increasing emphasis on the interdisciplinary nature of the field. Optimization has been a basic tool in all areas of applied mathematics, engineering, medicine, economics, and other sciences. The series Springer Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository work that focus on algorithms for solving optimization problems and also study applications involving such problems. Some of the topics covered include nonlinear optimization (convex and nonconvex), network flow problems, stochastic optimization, optimal control, discrete optimization, multiobjective programming, description of software packages, approximation techniques and heuristic approaches.

For further volumes: http://www.springer.com/series/7393

Natali Hritonenko • Yuri Yatsenko

Mathematical Modeling in Economics, Ecology and the Environment

Natali Hritonenko Department of Mathematics Prairie View A&M University Prairie View, TX, USA

Yuri Yatsenko School of Business Houston Baptist University Houston, TX, USA

ISSN 1931-6828 ISSN 1931-6836 (electronic) ISBN 978-1-4614-9310-5 ISBN 978-1-4614-9311-2 (eBook) DOI 10.1007/978-1-4614-9311-2 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013953869 Mathematics Subject Classification (2010): 44–01, 49–01, 49N90, 91B76, 93A, 97M40 © Springer Science+Business Media New York 1999, 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by th