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Biological Delay Systems N. MacDonald|MacDonald, N. 1 of 1
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FORMAT: Hardcover
CONDITION:  Brand New
IN STOCK: Usually Ships within 24 hours
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Product Details:

Format: Hardcover
ISBN-10: 0521340845
ISBN-13: 9780521340847
Sku: 36289079
Publish Date: 4/10/2007
Dimensions:  (in Inches) 9H x 6L x 0.75T
Pages:  248
 
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. Much of the material is based on recent research and appears here for the first time in book form. Yet the work not only is a synthesis of this research but also an exposition suited for courses; exercises are provided at the end of each chapter. Thus it will be appreciated by graduate students and research workers in mathematical biology, control theory and population dynamics.
From the Publisher:
MacDonald (U. of Glasgow) has written a text/reference on one of the fundamental questions in the analysis of the effect of delays, namely, determining whether they effect the stability of steady states. Mathematical prerequsites have been kept to a minimum of advanced calculus and ordinary differential equations. Annotation copyright Book News, Inc. Portland, Or.
Product Attributes
Product attributeBook Format:   Hardcover
Product attributeNumber of Pages:   0248
Product attributePublisher:   Cambridge University Press
Product attributeSeries Part:   8
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