LEADER 04323nam 2200745 450 001 9910815553703321 005 20231110220420.0 010 $a1-118-55217-2 010 $a1-118-55215-6 035 $a(CKB)2670000000570312 035 $a(EBL)1809733 035 $a(OCoLC)879553081 035 $a(SSID)ssj0001347450 035 $a(PQKBManifestationID)12499611 035 $a(PQKBTitleCode)TC0001347450 035 $a(PQKBWorkID)11350289 035 $a(PQKB)11393720 035 $a(MiAaPQ)EBC1809733 035 $a(DLC) 2014018463 035 $a(MiAaPQ)EBC4036264 035 $a(Au-PeEL)EBL1809733 035 $a(CaPaEBR)ebr10945446 035 $a(Au-PeEL)EBL4036264 035 $a(CaPaEBR)ebr11110951 035 $a(CaONFJC)MIL649397 035 $a(MiAaPQ)EBC7103801 035 $a(Au-PeEL)EBL7103801 035 $a(JP-MeL)3000110849 035 $a(EXLCZ)992670000000570312 100 $a20141010h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aExplorations of mathematical models in biology with Maple /$fMazen Shahin 205 $a1st ed. 210 1$aHoboken, New Jersey :$cWiley,$d2015. 210 4$d2015 215 $a1 online resource (307 p.) 225 1 $aNew York Academy of Sciences 300 $a"With website"--Cover 300 $aIncludes bibliographical references (p. 286-287) and index 311 $a1-118-03211-X 311 $a1-322-18133-0 320 $aIncludes bibliographical references and index. 327 $aMachine generated contents note: Preface Chapter 1. Overview of Discrete Dynamical Modeling and Maple 1.1 Introduction to Modeling and Difference Equations 1.2 The Modeling Process 1.3 Getting Started with Maple Chapter 2. Modeling with First-order Difference Equations 2.1 Modeling with First-order Linear Homogenous Difference Equations with Constant Coefficients 2.2 Modeling with Non-homogenous First-order Linear Difference Equations 2.3 Modeling with Nonlinear Difference Equations: Logistic Growth Models 2.4 Logistic Equations and Chaos Chapter 3. Modeling with Matrices 3.1 Systems of Linear Equations Having Unique Solutions 3.2 The Gauss-Jordan Elimination Method with Models 3.3 Introduction to Matrices and Matrix Operations 3.4 Determinants and Systems of Linear Equations 3.5 Eigenvectors and Eigenvalues 3.6 Eigenvalues and Stability of Linear Systems Chapter 4. Modeling with Systems of Linear Difference Equations 4.1 Modeling with Markov Chains 4.2 Age-structured Population Models 4.3 Modeling with Second-order Linear Difference Equations Chapter 5. Modeling with Nonlinear Systems of Difference Equations 5.1 Modeling of Interacting Species 5.2 The SIR Models of Infectious Disease 5.3 Modeling with Second-order Nonlinear Difference Equations Index . 330 $a"With an emphasis on Maple applications to showcase graphical and numerical techniques, this book investigates and analyzes the behavior of solutions of mathematical models and also features interesting linear and nonlinear models from diverse disciplines, such as biology, ecology, and environment. It utilizes difference equations, matrix algebra, and Markov chains as the main mathematical tools. It is an ideal book for students of mathematical biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science"--$cProvided by publisher. 330 $a"This book focuses on mathematical models in biology and utilizes difference equations, matrix algebra, and Markov chains as the main mathematical tools. In addition, Maple, a computer algebra system, as well as cooperative learning initiatives are integrated"--$cProvided by publisher. 410 0$aNew York Academy of Sciences 606 $aBiology$xMathematical models 606 $aBiology$xData processing 615 0$aBiology$xMathematical models. 615 0$aBiology$xData processing. 676 $a570.1/51 686 $a461.9$2njb/09 686 $a570.1/51$2njb/09 700 $aShahin$b Mazen$f1947-$01259760 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910815553703321 996 $aExplorations of mathematical models in biology with Maple$93972792 997 $aUNINA