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Positive periodic solution of a more realistic three-species Lotka-Volterra model with delay and density regulation

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  • Wen, Sun
  • Chen, Shihua
  • Mei, Huihai

Abstract

In the paper, a more realistic three-species ratio-dependent Lotka-Volterra model with delay and diffusive and density regulation is investigated. By mean of the powerful and effective coincidence degree theory, we establish sufficient conditions for the existence of at least one positive periodic solution of the model. What’s more, the conditions are easily verifiable.

Suggested Citation

  • Wen, Sun & Chen, Shihua & Mei, Huihai, 2009. "Positive periodic solution of a more realistic three-species Lotka-Volterra model with delay and density regulation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2340-2348.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2340-2348
    DOI: 10.1016/j.chaos.2007.10.027
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    References listed on IDEAS

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    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.
    2. Liu, Bing & Teng, Zhidong & Liu, Wanbo, 2007. "Dynamic behaviors of the periodic Lotka–Volterra competing system with impulsive perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 356-370.
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