Synopses & Reviews
Rapidly developing research areas such as mathematical biology, ecology, demography and chemistry often depend on underlying theory from reaction and diffusion. Aimed at upper-undergraduate and MSc students, this book provides a solid foundation in the mathematical ideas involved, which it supplements with numerous examples illustrating their applications.
Synopsis
Graduate text book introducing the mathematical theory underpinning models in biology, ecology and chemistry.
Table of Contents
Introduction; 1. The linear diffusion equation; 2. Reaction rate equations and the scalar reaction-diffusion equation; 3. Existence an Uniqueness; 4. Maximum principles and comparison theorems; 5. Equilibrium states and stability; 6. Steady states and stability; 7. Travelling waves; 8. Blow-up phenomena; 9. Non-linear diffusion; 10. Singular reaction phenomena; 11. Reaction-diffusion systems; 12. Asymptotic methods;