Equilibrium Stability of Single-species Metapopulations

We investigate the effect of migration between local populations of a single discrete-generation species living in a ring or an array of habitats. The commonly used symmetric dispersal assumption is relaxed to include the biologically more reasonable asymmetric dispersion. It is demonstrated analyti...

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Bibliographic Details
Published in:Bulletin of mathematical biology 2000-01, Vol.62 (1), p.155-161
Main Authors: Jang, S.R.-J., Mitra, Arun K.
Format: Article
Language:English
Subjects:
Animals
Ecology
Models, Biological
Population density
Population Dynamics
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Summary:We investigate the effect of migration between local populations of a single discrete-generation species living in a ring or an array of habitats. The commonly used symmetric dispersal assumption is relaxed to include the biologically more reasonable asymmetric dispersion. It is demonstrated analytically that density independent migration has no effect on the equilibrium stability of individual populations. However, the positive equilibrium may be destabilizing if the migration is density dependent in such a way that it increases with increasing population density at the source patch.
ISSN:0092-8240
1522-9602
DOI:10.1006/bulm.1999.0145