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Informationen zum Autor 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. Klappentext Explore and analyze the solutions of mathematical models from diverse disciplinesAs biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the user-friendly MATLAB(r), 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 real-world 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, first-order linear difference equations, and nonlinear first-order difference equations* Coverage of difference equations to model a wide range of real-life discrete time situations in diverse areas as well as discussions on matrices to model linear problems* Solutions to selected exercises and additional MATLAB codesExplorations of Mathematical Models in Biology with MATLAB is an ideal textbook for upper-undergraduate 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. Zusammenfassung 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 user-friendly MATLAB, to focus more on building and analyzing models as opposed to configuring tedious calculations. Inhaltsverzeichnis PREFACE ixACKNOWLEDGMENTS xiii1 OVERVIEW OF DISCRETE DYNAMICAL MODELING AND MATLAB(r) 11.1 Introduction to Modeling and Difference Equations 11.2 The Modeling Process 81.3 Getting Started with MATLAB 132 MODELING WITH FIRST-ORDER DIFFERENCE EQUATIONS 282.1 Modeling with First-Order Linear Homogenous Difference Equations with Constant Coefficients 282.2 Modeling with Nonhomogenous First-Order Linear Difference Equations 422.3 Modeling with Nonlinear Difference Equations: Logistic Growth Models 582.4 Logistic Equations and Chaos 743 MODELING WITH MATRICES 853.1 Systems of Linear Equations Having Unique Solutions 853.2 The Gauss-Jordan Elimination Method with Models 993.3 Introduction to Matrices 1193.4 Determinants and Systems of Linear Equations 1473.5 Eigenvalues and Eigenvectors 1603.6 Eigenvalues and Stability of Linear Models 1854 MODELING WITH SYSTEMS OF LINEAR DIFFERENCE EQUATIONS 1954.1 Modeling with Markov Chains 1954.2 Age-Structured Population Models 2194.3 Modeling with Second-Order Linear Difference Equations 2315 MODELING WITH NONLINEAR SYSTEMS OF DIFFERENCE EQUATIONS 2495.1 Modeling of Interacting Species 249...
