Explorations of mathematical models in biology with MATLAB®
 Author/Creator
 Shahin, Mazen, 1947 author.
 Language
 English.
 Publication
 Hoboken, New Jersey : Wiley, [2014]
 Copyright notice
 ©2014
 Physical description
 xiii, 283 pages : illustrations ; 25 cm
Access
Available online

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QH323.5 .S465 2014

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QH323.5 .S465 2014
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Contents/Summary
 Bibliography
 Includes bibliographical references (pages 277278) and index.
 Contents

 PREFACE ix ACKNOWLEDGMENTS xiii 1 OVERVIEW OF DISCRETE DYNAMICAL MODELING AND MATLAB(R)1 1.1 Introduction to Modeling and Difference Equations 1 1.2 The Modeling Process 8 1.3 Getting Started with MATLAB 13 2 MODELING WITH FIRSTORDER DIFFERENCE EQUATIONS 28 2.1 Modeling with FirstOrder Linear Homogenous DifferenceEquations with Constant Coefficients 28 2.2 Modeling with Nonhomogenous FirstOrder Linear DifferenceEquations 42 2.3 Modeling with Nonlinear Difference Equations: LogisticGrowth Models 58 2.4 Logistic Equations and Chaos 74 3 MODELING WITH MATRICES 85 3.1 Systems of Linear Equations Having Unique Solutions 85 3.2 The GaussJordan Elimination Method with Models 99 3.3 Introduction to Matrices 119 3.4 Determinants and Systems of Linear Equations 147 3.5 Eigenvalues and Eigenvectors 160 3.6 Eigenvalues and Stability of Linear Models 185 4 MODELING WITH SYSTEMS OF LINEAR DIFFERENCE EQUATIONS195 4.1 Modeling with Markov Chains 195 4.2 AgeStructured Population Models 219 4.3 Modeling with SecondOrder Linear Difference Equations231 5 MODELING WITH NONLINEAR SYSTEMS OF DIFFERENCE EQUATIONS249 5.1 Modeling of Interacting Species 249 5.2 The SIR Model of Infectious Disease 264 5.3 Modeling with SecondOrder Nonlinear Difference Equations270 REFERENCES 277 INDEX 279.
 (source: Nielsen Book Data)
 Publisher's Summary
 Explore and analyze the solutions of mathematical models from diverse disciplines As biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the userfriendly MATLAB, to focus more on building and analyzing models as opposed to configuring tedious calculations. Explorations of Mathematical Models in Biology with MATLAB provides an introduction to model creation using MATLAB, followed by the translation, analysis, interpretation, and observation of the models. With an integrated and interdisciplinary approach that embeds mathematical modeling into biological applications, the book illustrates numerous applications of mathematical techniques within biology, ecology, and environmental sciences. Featuring a quantitative, computational, and mathematical approach, the book includes: * Examples of realworld applications, such as population dynamics, genetics, drug administration, interacting species, and the spread of contagious diseases, to showcase the relevancy and wide applicability of abstract mathematical techniques * Discussion of various mathematical concepts, such as Markov chains, matrix algebra, eigenvalues, eigenvectors, firstorder linear difference equations, and nonlinear firstorder difference equations * Coverage of difference equations to model a wide range of reallife discrete time situations in diverse areas as well as discussions on matrices to model linear problems * Solutions to selected exercises and additional MATLAB codes Explorations of Mathematical Models in Biology with MATLAB is an ideal textbook for upperundergraduate courses in mathematical models in biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science. The book is also an excellent reference for biologists, ecologists, mathematicians, biomathematicians, and environmental and resource economists.
(source: Nielsen Book Data)
Subjects
 Subject
 MATLAB.
 Biology > Mathematical models.
Bibliographic information
 Publication date
 2014
 Copyright date
 2014
 Responsibility
 Mazen Shahin, Department of Mathematical Sciences, Delaware State University, Dover, DE.
 Available in another form
 Online version: Shahin, Mazen, 1947 Explorations of mathematical models in biology with MATLAB Hoboken, New Jersey : John Wiley & Sons, Inc., [2013] 9781118548592 (DLC) 2013030327
 ISBN
 9781118032121 (cloth)
 1118032128 (cloth)