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Biological Delay Systems - Linear Stability Theory (Paperback)
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Biological Delay Systems - Linear Stability Theory (Paperback)
Series: Cambridge Studies in Mathematical Biology
Expected to ship within 12 - 17 working days
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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.
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