Mathematical Biology: I. An Introduction

Front Cover
Springer Science & Business Media, Jun 12, 2007 - Mathematics - 553 pages

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."

 

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Contents

Continuous Population Models for Single Species
1
Evolution Morphogenetic Laws Developmental Constraints
7
Reaction Diffusion Chemotaxis and Nonlocal Mechanisms
11
Wolf Territoriality WolfDeer Interaction and Survival
14
Discrete Population Models for a Single Species
44
Appendix
66
Models for Interacting Populations
79
TemperatureDependent Sex Determination TSD
121
Perturbed and Coupled Oscillators and Black Holes
278
Dynamics of Infectious Diseases
315
119
382
Index
385
Use and Abuse of Fractals
484
130
493
Appendices
501
B RouthHurwitz Conditions Jury Conditions Descartes
506

Divorce Prediction
146
Reaction Kinetics
175
Biological Oscillators and Switches
218
BZ Oscillating Reactions
257

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