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Moment-closure Approximations to Levins Metapopulation Model

In this study, we apply the log-normal mixture and beta-binomial) mixture approximations to the stochastic version of the Levins metapopulation model. Mixture approximations arc able to capture the behaviour of the model around the threshold between persistence and extinction of occupied patch...

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Main Authors: Krishnarajah, Isthrinayagy, Gibson, Gavin, Glenn, Marion
Format: Article
Language:English
English
Published: Institute for Mathematical Research 2008
Online Access:http://psasir.upm.edu.my/id/eprint/12462/1/Artikel_4_vol2_no1.pdf
http://psasir.upm.edu.my/id/eprint/12462/
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spelling my.upm.eprints.124622013-05-27T07:52:24Z http://psasir.upm.edu.my/id/eprint/12462/ Moment-closure Approximations to Levins Metapopulation Model Krishnarajah, Isthrinayagy Gibson, Gavin Glenn, Marion In this study, we apply the log-normal mixture and beta-binomial) mixture approximations to the stochastic version of the Levins metapopulation model. Mixture approximations arc able to capture the behaviour of the model around the threshold between persistence and extinction of occupied patches. Comparison with simulation results show that mixture approximations are able to predict extinction behaviour but on a shorter time seale than the simulations, describe meta-stable persistence of occupied patches but slightly underestimate the mean and describe quasiequilibrium probabilities. Institute for Mathematical Research 2008-12 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12462/1/Artikel_4_vol2_no1.pdf Krishnarajah, Isthrinayagy and Gibson, Gavin and Glenn, Marion (2008) Moment-closure Approximations to Levins Metapopulation Model. Math Digest : Research Bulletin Institute for Mathematical Research, 2 (1). pp. 15-20. ISSN 1985-2436 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description In this study, we apply the log-normal mixture and beta-binomial) mixture approximations to the stochastic version of the Levins metapopulation model. Mixture approximations arc able to capture the behaviour of the model around the threshold between persistence and extinction of occupied patches. Comparison with simulation results show that mixture approximations are able to predict extinction behaviour but on a shorter time seale than the simulations, describe meta-stable persistence of occupied patches but slightly underestimate the mean and describe quasiequilibrium probabilities.
format Article
author Krishnarajah, Isthrinayagy
Gibson, Gavin
Glenn, Marion
spellingShingle Krishnarajah, Isthrinayagy
Gibson, Gavin
Glenn, Marion
Moment-closure Approximations to Levins Metapopulation Model
author_facet Krishnarajah, Isthrinayagy
Gibson, Gavin
Glenn, Marion
author_sort Krishnarajah, Isthrinayagy
title Moment-closure Approximations to Levins Metapopulation Model
title_short Moment-closure Approximations to Levins Metapopulation Model
title_full Moment-closure Approximations to Levins Metapopulation Model
title_fullStr Moment-closure Approximations to Levins Metapopulation Model
title_full_unstemmed Moment-closure Approximations to Levins Metapopulation Model
title_sort moment-closure approximations to levins metapopulation model
publisher Institute for Mathematical Research
publishDate 2008
url http://psasir.upm.edu.my/id/eprint/12462/1/Artikel_4_vol2_no1.pdf
http://psasir.upm.edu.my/id/eprint/12462/
_version_ 1643825047958192128
score 13.160551

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