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Persistence and average persistence of a nonautonomous Kolmogorov system

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  • Han, Xinli
  • Teng, Zhidong
  • Xiao, Dongmei

Abstract

In this paper, we study the persistence and average persistence of a nonautonomous Kolmogorov type predator-prey system. Sufficient and necessary criteria for the persistence and average persistence are obtained, respectively. In addition, as a special case, we also discuss the equivalence of persistence of several kinds for almost periodic Kolmogorov type predator-prey system.

Suggested Citation

  • Han, Xinli & Teng, Zhidong & Xiao, Dongmei, 2006. "Persistence and average persistence of a nonautonomous Kolmogorov system," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 748-758.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:3:p:748-758
    DOI: 10.1016/j.chaos.2006.04.026
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    References listed on IDEAS

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    1. Zhang, Shuwen & Chen, Lansun, 2005. "A Holling II functional response food chain model with impulsive perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1269-1278.
    2. Zhang, Shuwen & Wang, Fengyan & Chen, Lansun, 2005. "A food chain model with impulsive perturbations and Holling IV functional response," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 855-866.
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