1. Continuous Population Models for Single Species -- 2. Discrete Population Models for a Single Species -- 3. Continuous Models for Interacting Populations -- 4. Discrete Growth Models for Interacting Populations -- 5. Reaction Kinetics -- 6. Biological Oscillators and Switches -- 7. Belousov-Zhabotinskii Reaction -- 8. Perturbed and Coupled Oscillators and Black Holes -- 9. Reaction Diffusion, Chemotaxis and Non-local Mechanisms -- 10. Oscillator Generated Wave Phenomena and Central Pattern Generators -- 11. Biological Waves: Single Species Models -- 12. Biological Waves: Multi-species Reaction Diffusion Models -- *13. Travelling Waves in Reaction Diffusion Systems with Weak Diffusion: Analytical Techniques and Results -- 14. Spatial Pattern Formation with Reaction/Population Interaction Diffusion Mechanisms -- 15. Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms -- 16. Neural Models of Pattern Formation -- 17. Mechanical Models for Generating Pattern and Form in Development -- 18. Evolution and Developmental Programmes -- 19. Epidemic Models and the Dynamics of Infectious Diseases -- 20. Geographic Spread of Epidemics -- Appendices -- 1. Phase Plane Analysis -- 2. Routh-Hurwitz Conditions, Jury Conditions, Descarte's Rule of Signs and Exact Solutions of a Cubic -- 3. Hopf Bifurcation Theorem and Limit Cycles -- 4. General Results for the Laplacian Operator in Bounded Domains.