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100   $a20160408h20142014  uy             0
101 0 $aeng
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181   $ctxt
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200 10$aExplorations of mathematical models in biology with MATLAB /$fMazen Shahin, Department of Mathematical Sciences, Delaware State University, Dover, DE
210  1$aHoboken, New Jersey :$cWiley,$d2014.
210  4$d©2014
215   $a1 online resource (390 p.)
300   $aDescription based upon print version of record.
311   $a1-118-80003-6 
311   $a1-118-03212-8 
320   $aIncludes bibliographical references and index.
327   $aCOVER; TITLE PAGE; COPYRIGHT PAGE; DEDICATION; PREFACE; MAIN GOALS; THE NEED FOR A TEXTBOOK IN ELEMENTARY MATHEMATICAL MODELING AND MATRIX ALGEBRA; APPROACH; WHY MODELING WITH DIFFERENCE EQUATIONS AND MATRICES?; WHY DO WE USE MATLAB?; ORGANIZATION; THE INTENDED AUDIENCES; SUPPORT WEBSITE; ACKNOWLEDGMENTS; CHAPTER 1: OVERVIEW OF DISCRETE DYNAMICAL MODELING AND MATLAB®; 1.1. INTRODUCTION TO MODELING AND DIFFERENCE EQUATIONS; 1.2. THE MODELING PROCESS; 1.3. GETTING STARTED WITH MATLAB; CHAPTER 2: MODELING WITH FIRST-ORDER DIFFERENCE EQUATIONS
327   $a2.1. MODELING WITH FIRST-ORDER LINEAR HOMOGENOUS DIFFERENCE EQUATIONS WITH CONSTANT COEFFICIENTS2.2. MODELING WITH NONHOMOGENOUS 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; 3.4. DETERMINANTS AND SYSTEMS OF LINEAR EQUATIONS; 3.5. EIGENVALUES AND EIGENVECTORS; 3.6. EIGENVALUES AND STABILITY OF LINEAR MODELS
327   $aCHAPTER 4: MODELING WITH SYSTEMS OF LINEAR DIFFERENCE EQUATIONS4.1. 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 MODEL OF INFECTIOUS DISEASE; 5.3. MODELING WITH SECOND-ORDER NONLINEAR DIFFERENCE EQUATIONS; REFERENCES; INDEX
330   $a 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. 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 appro
606   $aBiology$xMathematical models
608   $aElectronic books.
615  0$aBiology$xMathematical models.
676   $a570.1/5195
700   $aShahin$b Mazen$f1947-$0872469
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910463756203321
996   $aExplorations of mathematical models in biology with MATLAB$91947753
997   $aUNINA