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Periodic Solutions of Multispecies Mutualism System with Infinite Delays

Author

Listed:
  • Wenbo Zhao
  • Caocuan Ma
  • Taotao Zheng
  • Xiao-Ke Sun

Abstract

We studied the delayed periodic mutualism system with Gilpin‐Ayala effect. Some new and interesting sufficient conditions are obtained to guarantee the existence of periodic solution for the multispecies mutualism system with infinite delays. Our method is based on Mawhin′s coincidence degree. To the best knowledge of the authors, there is no paper considering the existence of periodic solutions for n‐species mutualism system with infinite delays.

Suggested Citation

  • Wenbo Zhao & Caocuan Ma & Taotao Zheng & Xiao-Ke Sun, 2014. "Periodic Solutions of Multispecies Mutualism System with Infinite Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:127876
    DOI: 10.1155/2014/127876
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    References listed on IDEAS

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    1. Xiang Gu & Huicheng Wang & P. J. Y. Wong & Yonghui Xia, 2014. "Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, April.
    2. Xiang Gu & Huicheng Wang & P. J. Y. Wong & Yonghui Xia, 2014. "Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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