Front Cover; Contents; Preface; Acknowledgments; I. Elementary Topics; 1. Introduction to Biological Modeling; 2. Difference Equations (Discrete Dynamical Systems); 3. First-Order Differential Equations (Continuous Dynamical Systems); 4. Nonlinear Differential Equations; II: More Advanced Topics; 5. Systems of Differential Equations; 6. Topics in Modeling Systems of Populations; 7. Systems with Sustained Oscillations and Singularities; III. Appendices; A. An Introduction to the Use of MapleTM; B. Taylor's Theorem and Linearization; C. Location of Roots of Polynomial Equations
D. Stability of Equilibrium of Difference EquationsAnswers to Selected Exercises; Bibliography; Back Cover
Summary
Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems