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: | , , |
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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 http://psasir.upm.edu.my/id/eprint/12462/ |
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| Institution: | Universiti Putra Malaysia |
| Language: | English English |
| Summary: | 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. |
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