Mathematical Biology: I. An Introduction

J. D. Murray FRS (eds.)0-387-95223-3, 9780387952239

It has been over a decade since the release of the now classic original edition of Murray’s Mathematical Biology. Since then mathematical biology has grown at an astonishing rate and is well established as a distinct discipline. Mathematical modeling is now being applied in every major discipline in the biomedical sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems that arise in biology and gives some indication of the wide spectrum of questions that modeling can address. Due to the tremendous development in the field this book is being published in two volumes. This first volume is an introduction to the field, the mathematics mainly involves ordinary differential equations that are suitable for undergraduate and graduate courses at different levels. For this new edition Murray is covering certain items in depth, giving new applications such as modeling marital interactions and temperature dependence sex determination.

SIAM, 2004: “Murray’s Mathematical Biology is a classic that belongs on the shelf of any serious student or researcher in the field. Together the two volumes contain well over 1000 references, a rich source of material, together with an excellent index to help readers quickly find key words. … I recommend the new and expanded third edition to any serious young student interested in mathematical biology who already has a solid basis in applied mathematics.”

Table of contents :
Front Matter….Pages i-xxiii
Continuous Population Models for Single Species….Pages 1-43
Discrete Population Models for a Single Species….Pages 44-78
Models for Interacting Populations….Pages 79-118
Temperature-Dependent Sex Determination (TSD): Crocodilian Survivorship….Pages 119-145
Modelling the Dynamics of Marital Interaction: Divorce Prediction and Marriage Repair….Pages 146-174
Reaction Kinetics….Pages 175-217
Biological Oscillators and Switches….Pages 218-256
BZ Oscillating Reactions….Pages 257-277
Perturbed and Coupled Oscillators and Black Holes….Pages 278-314
Dynamics of Infectious Diseases: Epidemic Models and AIDS….Pages 315-394
Reaction Diffusion, Chemotaxis, and Nonlocal Mechanisms….Pages 395-417
Oscillator-Generated Wave Phenomena and Central Pattern Generators….Pages 418-436
Biological Waves: Single-Species Models….Pages 437-483
Use and Abuse of Fractals….Pages 484-499
Back Matter….Pages 501-551