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Fast variables in stochastic populat...

Constable, George William Albert.

Fast variables in stochastic population dynamics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fast variables in stochastic population dynamicsby George William Albert Constable.
作者:	Constable, George William Albert.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	xvii, 163 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Random variables.
電子資源:	http://dx.doi.org/10.1007/978-3-319-21218-0
ISBN:	9783319212180 (electronic bk.)

Fast variables in stochastic population dynamics
Constable, George William Albert.

Fast variables in stochastic population dynamics[electronic resource] /by George William Albert Constable. - Cham :Springer International Publishing :2015. - xvii, 163 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Introduction -- Technical Background -- The Conditioning Method -- The Projection Matrix Method -- Metapopulation Moran Model Analysis -- Further Developments -- Conclusion.

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.

ISBN: 9783319212180 (electronic bk.)

Standard No.: 10.1007/978-3-319-21218-0doiSubjects--Topical Terms:

199057
Random variables.

LC Class. No.: QA274

Dewey Class. No.: 519.23

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