Bifurcation analysis of a metapopulation model with sources and sinks

Gyllenberg, M.Department of Mathematics, University of Turku, Turku, Finland (författare)

Godkänd; 1996; 20070206 (kani)
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.

Osipov, A.V.Mathematics and Mechanics Faculty, St. Petersburg State University, St. Petersburg, Russia (författare)
Söderbacka, GunnarLuleå tekniska universitet(Swepub:ltu)gunnar (författare)
Department of Mathematics, University of Turku, Turku, FinlandMathematics and Mechanics Faculty, St. Petersburg State University, St. Petersburg, Russia (creator_code:org_t)

Av författaren/redakt...: Gyllenberg, M.; Osipov, A.V.; Söderbacka, Gunn ...

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