CONTENTS
THE NEED FOR A TEXTBOOK IN ELEMENTARY MATHEMATICAL MODELING AND MATRIX ALGEBRA
WHY MODELING WITH DIFFERENCE EQUATIONS AND MATRICES?
CHAPTER 1: OVERVIEW OF DISCRETE DYNAMICAL MODELING AND MATLAB®
1.1. INTRODUCTION TO MODELING AND DIFFERENCE EQUATIONS
1.3. GETTING STARTED WITH MATLAB
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 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
3.4. DETERMINANTS AND SYSTEMS OF LINEAR EQUATIONS
3.5. EIGENVALUES AND EIGENVECTORS
3.6. EIGENVALUES AND STABILITY OF LINEAR MODELS
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 MODEL OF INFECTIOUS DISEASE
5.3. MODELING WITH SECOND-ORDER NONLINEAR DIFFERENCE EQUATIONS
Get Explorations of Mathematical Models in Biology with MATLAB now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.