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The periodic n-species Gilpin–Ayala competition system with impulsive effect

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  • Zhang, Shuwen
  • Tan, Dejun
  • Chen, Lansun

Abstract

In this paper, a generalized periodic n-species Gilpin–Ayala competition systems with impulsive effect is investigated. The sufficient conditions are derived for the permanence of the system. We discuss the stabilities of trivial solution and bounded periodic solution. By using the method of coincidence degree, a set of sufficient conditions are derived for the existence of at least one strictly positive componentwise periodic solution, the example shows that our criteria are easily verifiable.

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  • Zhang, Shuwen & Tan, Dejun & Chen, Lansun, 2005. "The periodic n-species Gilpin–Ayala competition system with impulsive effect," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 507-517.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:2:p:507-517
    DOI: 10.1016/j.chaos.2005.01.020
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    Cited by:

    1. Dong, Lingzhen & Chen, Lansun & Shi, Peilin, 2007. "Periodic solutions for a two-species nonautonomous competition system with diffusion and impulses," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1916-1926.

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