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Existence of Almost‐Periodic Solutions for Lotka‐Volterra Cooperative Systems with Time Delay

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  • Kaihong Zhao

Abstract

This paper considers the existence of positive almost‐periodic solutions for almost‐periodic Lotka‐Volterra cooperative system with time delay. By using Mawhin’s continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive almost‐periodic solutions are obtained. An example and its simulation figure are given to illustrate the effectiveness of our results.

Suggested Citation

  • Kaihong Zhao, 2012. "Existence of Almost‐Periodic Solutions for Lotka‐Volterra Cooperative Systems with Time Delay," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:270104
    DOI: 10.1155/2012/270104
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    References listed on IDEAS

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    1. Li, Yongkun, 2008. "Positive periodic solutions of periodic neutral Lotka–Volterra system with distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 288-298.
    2. Chen, Ling & Zhao, Hongyong, 2008. "Global stability of almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 351-357.
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