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Author:   Mazen Shahin
Publisher:   John Wiley & Sons Inc
Imprint:   John Wiley & Sons Inc
Dimensions:   Width: 16.30cm , Height: 2.30cm , Length: 23.60cm
Weight:   0.635kg
ISBN:  

9781118032114

ISBN 10:   111803211
Pages:   304
Publication Date:   23 December 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Preface vii Acknowledgments xi 1 Overview of Discrete Dynamical Modeling and Maple™ 1 1.1 Introduction to Modeling and Difference Equations 1 1.2 The Modeling Process 8 1.3 Getting Started with Maple 12 2 Modeling with First-Order Difference Equations 37 2.1 Modeling with First-Order Linear Homogeneous Difference Equations with Constant Coefficients 37 2.2 Modeling with Nonhomogeneous First-Order Linear Difference Equations 53 2.3 Modeling with Nonlinear Difference Equations: Logistic Growth Models 72 2.4 Logistic Equations and Chaos 89 3 Modeling with Matrices 100 3.1 Systems of Linear Equations Having Unique Solutions 100 3.2 The Gauss–Jordan Elimination Method with Models 114 3.3 Introduction to Matrices 136 3.4 Determinants and Systems of Linear Equations 164 3.5 Eigenvalues and Eigenvectors 176 3.6 Eigenvalues and Stability of Linear Models 199 4 Modeling with Systems of Linear Difference Equations 209 4.1 Modeling with Markov Chains 209 4.2 Age-Structured Population Models 230 4.3 Modeling with Second-Order Linear Difference Equations 240 5 Modeling with Nonlinear Systems of Difference Equations 258 5.1 Modeling of Interacting Species 258 5.2 The SIR Model of Infectious Diseases 272 5.3 Modeling with Second-Order Nonlinear Difference Equations 280 Bibliography 286 Index 288

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Author Information

MAZEN SHAHIN, PhD, is Professor in the Department of Mathematical Sciences at Delaware State University. He has extensive background and experience in designing interdisciplinary instructional materials that integrate mathematics and other disciplines, such as biology, ecology, and finance. Dr. Shahin’s research interests include boundary value problems, dynamical systems, impulsive differential equations, and mathematics education. Dr. Shahin is the author of Explorations of Mathematical Models in Biology with MATLAB®, also published by Wiley.

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