Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/65610
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | A stochastic metapopulation model accounting for habitat dynamics |
Author: | Ross, J. |
Citation: | Journal of Mathematical Biology, 2006; 52(6):788-806 |
Publisher: | Springer-Verlag |
Issue Date: | 2006 |
ISSN: | 0303-6812 1432-1416 |
Statement of Responsibility: | J.V. Ross |
Abstract: | A stochastic metapopulation model accounting for habitat dynamics is presented. This is the stochastic SIS logistic model with the novel aspect that it incorporates varying carrying capacity. We present results of Kurtz and Barbour, that provide deterministic and diffusion approximations for a wide class of stochastic models, in a form that most easily allows their direct application to population models. These results are used to show that a suitably scaled version of the metapopulation model converges, uniformly in probability over finite time intervals, to a deterministic model previously studied in the ecological literature. Additionally, they allow us to establish a bivariate normal approximation to the quasi-stationary distribution of the process. This allows us to consider the effects of habitat dynamics on metapopulation modelling through a comparison with the stochastic SIS logistic model and provides an effective means for modelling metapopulations inhabiting dynamic landscapes. |
Keywords: | Diffusion approximations habitat dynamics Markov chains metapopulations stochastic logistic model stochastic models |
Rights: | © Springer-Verlag 2006 |
DOI: | 10.1007/s00285-006-0372-8 |
Published version: | http://dx.doi.org/10.1007/s00285-006-0372-8 |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.