Mathematical Biology An Introduction

Preface to the First Edition......Page 0
Table of Contents......Page 2
1. Continuous Population Models for Single Species......Page 12
2. Discrete Population Models for a Single Species......Page 55
3. Models for Interacting Populations......Page 90
4. Temperature-Dependent Sex Determination (TSD): Crocodillian Survivorship......Page 130
5. Modelling the Dynamics of Marital Interaction: Divorce Prediction and Marraige Repair......Page 157
6. Reaction Kinetics......Page 186
7. Biological Oscillators and Switches......Page 229
8. BZ Oscillating Reactions......Page 268
9. Perturbed and Coupled Oscillators and Black Holes......Page 289
10. Dynamics of Infectious Diseases: Epidemic Models and AIDS......Page 326
11. Reaction Diffusion, Chemotaxis, and Nonlocal Mechanisms......Page 406
12. Oscillator-Generated Wave Phenomena and Central Pattern Generators......Page 429
13. Biological Waves: Single-Species Models......Page 448
14. Use and Abuse of Fractals......Page 495
Appendix A. Phase Plane Analysis......Page 512
Appendix B. Routh-Hurwitz Conditions, Jury Conditions, Descartes' Rule of Signs and Exact Solutions of a Cubic......Page 518
Bibliography......Page 524
Index......Page 548