Bifurcation analysis of a metapopulation model with sources and sinks

被引:25
作者
Gyllenberg, M
Osipov, AV
Soderbacka, G
机构
[1] ST PETERSBURG STATE UNIV,FAC MATH & MECH,ST PETERSBURG 198904,RUSSIA
[2] UNIV LULEA,DEPT MATH,S-97187 LULEA,SWEDEN
关键词
D O I
10.1007/BF02433474
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:329 / 366
页数:38
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