Stability in a Metapopulation Model with Density-dependent Dispersal
| Autor: | Manuela Longoni de Castro, Dagoberto Adriano Rizzotto Justo, Jacques A. L. Silva |
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| Rok vydání: | 2001 |
| Předmět: |
Population Density
Pharmacology Ecology General Mathematics General Neuroscience Immunology Boundary (topology) Metapopulation Emigration and Immigration Models Biological Instability Stability (probability) General Biochemistry Genetics and Molecular Biology Rate of increase Stable system Computational Theory and Mathematics Density dependent Animals Biological dispersal Computer Simulation Statistical physics General Agricultural and Biological Sciences General Environmental Science Mathematics |
| Zdroj: | Bulletin of Mathematical Biology. 63:485-506 |
| ISSN: | 0092-8240 |
| DOI: | 10.1006/bulm.2000.0221 |
| Popis: | A spatially explicit metapopulation model with positive density-dependent migration is analysed. We obtained conditions under which a previously stable system can be driven to instability caused by a density-dependent migration mechanism. The stability boundary depends on the rate of increase of the number of migrants on each site at local equilibrium, on the intrinsic rate of increase at local level, on the number of patches, and on topological aspects regarding the connectivity between patches. A concrete example is presented illustrating the dynamics on the dispersal-induced unstable regime. |
| Databáze: | OpenAIRE |
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