Fast variables in stochastic population dynamics [electronic resource] / George William Albert Constable.

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Fast variables in stochastic population dynamics [electronic resource] / George William Albert Constable.

9783319212180 electronic book
3319212184 electronic book
9783319212173

Cham : Springer, 2015.

English

1 online resource (xvii, 163 pages) : color illustrations.

QA274

519.2/3

In this thesis two variants of the fast variable elimination method are developed. They are intuitive, simple to implement and give results which are in very good agreement with those found from numerical simulations. The relative simplicity of the techniques makes them ideal for applying to problems featuring demographic stochasticity, for experts and non-experts alike. Within the context of mathematical modelling, fast variable elimination is one of the central tools with which one can simplify a multivariate problem. When used in the context of of deterministic systems, the theory is quite standard, but when stochastic effects are present, it becomes less straightforward to apply. While the introductory and background chapters form an excellent primer to the theory of stochastic population dynamics, the techniques developed can be applied to systems exhibiting a separation of timescales in a variety of fields including population genetics, ecology and epidemiology. .

"Doctoral thesis accepted by the University of Manchester, UK."

Includes bibliographical references.

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Online resource; title from PDF title page (viewed August 3, 2015)

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