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- Title
Bifurcation Analysis of a Metapopulation Model with Sources and Sinks.
- Authors
Gyllenberg, M.; Osipov, A.V.; Söderbacka, G.
- Abstract
A class of functions describing the Allee effect and local catastrophes in population dynamics is introduced and the behaviour of the resulting one-dimensional discrete dynamical system is investigated in detail. The main topic of the paper is a treatment of the two-dimensional system arising when an Allee function is coupled with a function describing the population decay in a so-called sink. New types of bifurcation phenomena are discovered and explained. The relevance of the results for metapopulation dynamics is discussed.
- Subjects
POPULATION dynamics; MATHEMATICAL models; BIFURCATION theory
- Publication
Journal of Nonlinear Science, 1996, Vol 6, Issue 4, p329
- ISSN
0938-8974
- Publication type
Article
- DOI
10.1007/BF02433474