Differential Equations and Mathematical Biology (Chapman & Hall/CRC Mathematical and Computational Biology) - Hardcover

"A strength of [this book] is its concise coverage of a broad range of topics. It is truly remarkable how much material is squeezed into the slim book's 400 pages." - SIAM Review, Vol. 46, No. 1 "It is remarkable that without the classical scheme (definition, theorem and proof) it is possible to explain rather deep results like properties of the Fitz-Hugh-Nagumo model or the Turing model . This feature makes the reading of this text pleasant business for mathematicians. [This book] can be recommended for students of mathematics who like to see applications, because it introduces them to problems on how to model processes in biology, and also for theoretical oriented students of biology, because it presents constructions of mathematical models and the steps needed for their investigations in a clear way and without references to other books." - EMS Newsletter "The title precisely reflects the contents of the book, a valuable addition to the growing literature in mathematical biology from a deterministic modeling approach. This book is a suitable textbook for multiple purposes Overall, topics are carefully chosen and well balanced. The book is written by experts in the research fields of dynamical systems and population biology. As such, it presents a clear picture of how applied dynamical systems and theoretical biology interact and stimulate each other--a fascinating positive feedback whose strength is anticipated to be enhanced by outstanding text like the work under review." -Mathematical Reviews, Issue 2004g

The conjoining of mathematics and biology has brought about significant advances in both areas, with mathematics providing a tool for modelling and understanding biological phenomena and biology stimulating developments in the theory of nonlinear differential equations. The continued application of mathematics to biology holds great promise and in fact may be the applied mathematics of the 21st century.

Differential Equations and Mathematical Biology provides a detailed treatment of both ordinary and partial differential equations, techniques for their solution, and their use in a variety of biological applications. The presentation includes the fundamental techniques of nonlinear differential equations, bifurcation theory, and the impact of chaos on discrete time biological modelling. The authors provide generous coverage of numerical techniques and address a range of important applications, including heart physiology, nerve pulse transmission, chemical reactions, tumour growth, and epidemics.

This book is the ideal vehicle for introducing the challenges of biology to mathematicians and likewise delivering key mathematical tools to biologists. Carefully designed for such multiple purposes, it serves equally well as a professional reference and as a text for coursework in differential equations, in biological modelling, or in differential equation models of biology for life science students.