Permanence for a class of periodic time-dependent predator–prey system with dispersal in a patchy-environment

Long Zhang and Zhidong Teng

Chaos, Solitons & Fractals, 2008, vol. 38, issue 5, 1483-1497

Abstract: In this paper, we study two species predator–prey Lotka–Volterra type dispersal system with periodic coefficients in two patches, in which both the prey and predator species can disperse between two patches. By utilizing analytic method, sufficient and realistic conditions on permanence and the existence of periodic solution are established. The theoretical results are confirmed by a special example and numerical simulations.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:5:p:1483-1497

DOI: 10.1016/j.chaos.2007.01.154

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