Biological Delay Systems by N Macdonald

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Summary

In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for delays such as those due to gestation, maturation or transport. This book deals with a fundamental question in the analysis of the effects of delays, namely whether they affect the stability of steady states.

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Biological Delay Systems by N Macdonald

In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for intrinsic delays, due to such things as gestation, maturation or transport. This book is concerned with one of the fundamental questions in the analysis of the effect of delays, namely determining whether they effect the stability of steady states. The analysis is presented for one or two such delays treated both as discrete, where an event which occurred at a precise time in the past has an effect now, and distributed, where the delay is averaged over the population's history. Both of these types occur in biological contexts. The method used to tackle these questions is linear stability analysis which leads to an understanding of the local stability. By avoiding global questions, the author has kept the mathematical prerequisites to a minimum, essentially advanced calculus and ordinary differential equations.

NANCY MACDONALD was born in England and raised in New York. She is currently based in London, where she works as a young consultant for a branding firm. Her PhD thesis, which she completed at Brunel University, is the basis for this book.

SKU Unavailable
ISBN 13 9780521048163
ISBN 10 0521048168
Title Biological Delay Systems
Author N Macdonald
Series Cambridge Studies In Mathematical Biology
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 2008-01-03
Number of pages 248
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.