國立虎尾科技大學 |

Fast variables in stochastic population dynamics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Fast variables in stochastic population dynamics/ by George William Albert Constable.
Author:	Constable, George William Albert.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xvii, 163 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Random variables. -
Online resource:	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:

598296
Random variables.

LC Class. No.: QA274

Dewey Class. No.: 519.23

Fast variables in stochastic population dynamics
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505 0 $a Introduction -- Technical Background -- The Conditioning Method -- The Projection Matrix Method -- Metapopulation Moran Model Analysis -- Further Developments -- Conclusion.
520 $a 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.
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