{"product_id":"explorations-of-mathematical-models-in-biology-with-matlab-isbn-9781118032121","title":"Explorations of Mathematical Models in Biology with MATLAB","description":"\u003cb\u003eExplore and analyze the solutions of mathematical models from diverse disciplines\u003c\/b\u003e \u003cp\u003eAs 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. \u003ci\u003eExplorations of Mathematical Models in Biology with MATLAB \u003c\/i\u003eprovides an introduction to model creation using MATLAB, followed by the translation, analysis, interpretation, and observation of the models.\u003c\/p\u003e \u003cp\u003eWith 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:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eExamples 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\u003c\/li\u003e \u003cli\u003eDiscussion of various mathematical concepts, such as Markov chains, matrix algebra, eigenvalues, eigenvectors, first-order linear difference equations, and nonlinear first-order difference equations\u003c\/li\u003e \u003cli\u003eCoverage 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\u003c\/li\u003e \u003cli\u003eSolutions to selected exercises and additional MATLAB codes\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eExplorations of Mathematical Models in Biology with MATLAB \u003c\/i\u003eis 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.\u003c\/p\u003e  \u003cp\u003ePREFACE ix\u003c\/p\u003e \u003cp\u003eACKNOWLEDGMENTS xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 OVERVIEW OF DISCRETE DYNAMICAL MODELING AND MATLAB® 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction to Modeling and Difference Equations 1\u003c\/p\u003e \u003cp\u003e1.2 The Modeling Process 8\u003c\/p\u003e \u003cp\u003e1.3 Getting Started with MATLAB 13\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 MODELING WITH FIRST-ORDER DIFFERENCE EQUATIONS 28\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Modeling with First-Order Linear Homogenous Difference Equations with Constant Coefficients 28\u003c\/p\u003e \u003cp\u003e2.2 Modeling with Nonhomogenous First-Order Linear Difference Equations 42\u003c\/p\u003e \u003cp\u003e2.3 Modeling with Nonlinear Difference Equations: Logistic Growth Models 58\u003c\/p\u003e \u003cp\u003e2.4 Logistic Equations and Chaos 74\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 MODELING WITH MATRICES 85\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Systems of Linear Equations Having Unique Solutions 85\u003c\/p\u003e \u003cp\u003e3.2 The Gauss-Jordan Elimination Method with Models 99\u003c\/p\u003e \u003cp\u003e3.3 Introduction to Matrices 119\u003c\/p\u003e \u003cp\u003e3.4 Determinants and Systems of Linear Equations 147\u003c\/p\u003e \u003cp\u003e3.5 Eigenvalues and Eigenvectors 160\u003c\/p\u003e \u003cp\u003e3.6 Eigenvalues and Stability of Linear Models 185\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 MODELING WITH SYSTEMS OF LINEAR DIFFERENCE EQUATIONS 195\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Modeling with Markov Chains 195\u003c\/p\u003e \u003cp\u003e4.2 Age-Structured Population Models 219\u003c\/p\u003e \u003cp\u003e4.3 Modeling with Second-Order Linear Difference Equations 231\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 MODELING WITH NONLINEAR SYSTEMS OF DIFFERENCE EQUATIONS 249\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Modeling of Interacting Species 249\u003c\/p\u003e \u003cp\u003e5.2 The SIR Model of Infectious Disease 264\u003c\/p\u003e \u003cp\u003e5.3 Modeling with Second-Order Nonlinear Difference Equations 270\u003c\/p\u003e \u003cp\u003eREFERENCES 277\u003c\/p\u003e \u003cp\u003eINDEX 279\u003c\/p\u003e  \u003cp\u003e“Overall, the book is a great resource to use across many diverse fields.”  (\u003ci\u003eMathematical Association of America\u003c\/i\u003e, 1 January 2015)\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eMAZEN SHAHIN, PhD,\u003c\/b\u003e 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.\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eExplore and analyze the solutions of mathematical models from diverse disciplines\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAs 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. \u003ci\u003eExplorations of Mathematical Models in Biology with MATLAB\u003c\/i\u003e provides an introduction to model creation using MATLAB, followed by the translation, analysis, interpretation, and observation of the models.\u003c\/p\u003e \u003cp\u003eWith 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:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eExamples 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\u003c\/li\u003e \u003cli\u003eDiscussion of various mathematical concepts, such as Markov chains, matrix algebra, eigenvalues, eigenvectors, first-order linear difference equations, and nonlinear first-order difference equations\u003c\/li\u003e \u003cli\u003eCoverage 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\u003c\/li\u003e \u003cli\u003eSolutions to selected exercises and additional MATLAB codes\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eExplorations of Mathematical Models in Biology with MATLAB\u003c\/i\u003e 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.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989187412197,"sku":"NP9781118032121","price":111.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118032121.jpg?v=1761783138","url":"https:\/\/k12savings.com\/products\/explorations-of-mathematical-models-in-biology-with-matlab-isbn-9781118032121","provider":"K12savings","version":"1.0","type":"link"}