期刊
JOURNAL OF THEORETICAL BIOLOGY
卷 262, 期 2, 页码 279-283出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2009.09.032
关键词
Bifurcation; Coupled map lattice; Discrete-time population dynamics; Dispersal; Mortality; Metapopulation; Stability
资金
- Academy of Finland
I investigate the stability of the homogeneous equilibrium of a discrete-time metapopulation assuming costly dispersal with arbitrary (but fixed) spatial pattern of connectivity between the local populations. First, I link the stability of the metapopulation to the stability of a single isolated population by proving that the homogeneous metapopulation equilibrium, provided that it exists, is stable if and only if a single population, which is subject to extra mortality matching the average dispersal-induced mortality of the metapopulation, has a stable fixed point. Second, I demonstrate that extra mortality may destabilize the fixed point of a single population. Taken together, the two results imply that costly dispersal can destabilize the homogeneous equilibrium of a metapopulation. I illustrate this by simulations and discuss why earlier work, arriving at the opposite conclusion, was flawed. (C) 2009 Elsevier Ltd. All rights reserved.
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