Bajo I, Ruiz-Herrera A. A quantitative approach to the stabilizing role of dispersal in metapopulations.
Math Biosci 2017;
290:49-55. [PMID:
28606824 DOI:
10.1016/j.mbs.2017.06.001]
[Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/23/2016] [Revised: 05/11/2017] [Accepted: 06/08/2017] [Indexed: 11/25/2022]
Abstract
We study a classical model for a population that reproduces and disperses in a landscape of heterogeneous patches. Under symmetrical dispersal, we provide a sufficient condition to ensure the existence of a globally attracting fixed point. This condition is used in order to prove that certain patches with complex dynamics can be stabilized by the combination with stable patches. Specifically, given a patch with complex dynamics, we estimate the necessary number of patches with simple dynamics so that the whole metapopulation has a globally attracting equilibrium.
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