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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Institute for Mathematical Research
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12462/1/Artikel_4_vol2_no1.pdf |
| _version_ | 1825945055925370880 |
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| author | Krishnarajah, Isthrinayagy Gibson, Gavin Glenn, Marion |
| author_facet | Krishnarajah, Isthrinayagy Gibson, Gavin Glenn, Marion |
| author_sort | Krishnarajah, Isthrinayagy |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T07:25:33Z |
| format | Article |
| id | upm.eprints-12462 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:25:33Z |
| publishDate | 2008 |
| publisher | Institute for Mathematical Research |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Krishnarajah, Isthrinayagy Gibson, Gavin Glenn, Marion Moment-closure Approximations to Levins Metapopulation Model |
| title | 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_short | Moment-closure Approximations to Levins Metapopulation Model |
| title_sort | moment closure approximations to levins metapopulation model |
| url | http://psasir.upm.edu.my/id/eprint/12462/1/Artikel_4_vol2_no1.pdf |
| work_keys_str_mv | AT krishnarajahisthrinayagy momentclosureapproximationstolevinsmetapopulationmodel AT gibsongavin momentclosureapproximationstolevinsmetapopulationmodel AT glennmarion momentclosureapproximationstolevinsmetapopulationmodel |