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

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  • Zhang, Long
  • Teng, Zhidong

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.

Suggested Citation

  • Zhang, Long & Teng, Zhidong, 2008. "Permanence for a class of periodic time-dependent predator–prey system with dispersal in a patchy-environment," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1483-1497.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:5:p:1483-1497
    DOI: 10.1016/j.chaos.2007.01.154
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    References listed on IDEAS

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    1. Liu, Zhihua & Yuan, Rong, 2006. "Stability and bifurcation in a harvested one-predator–two-prey model with delays," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1395-1407.
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