Costly dispersal can destabilize the homogeneous equilibrium of a metapopulation

JOURNAL OF THEORETICAL BIOLOGY

卷:262

Article

Kisdi, Eva

关键词: Bifurcation;    Coupled map lattice;    Discrete-time population dynamics;    Dispersal;    Mortality;    Metapopulation;    Stability;   

DOI  :  10.1016/j.jtbi.2009.09.032

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free