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Global Asymptotic Behavior of a Nonautonomous Competitor-Competitor-Mutualist Model

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  • Shengmao Fu
  • Fei Qu

Abstract

The global asymptotic behavior of a nonautonomous competitor-competitor-mutualist model is investigated, where all the coefficients are time-dependent and asymptotically approach periodic functions, respectively. Under certain conditions, it is shown that the limit periodic system of this asymptotically periodic model admits two positive periodic solutions such that , and the sector is a global attractor of the asymptotically periodic model. In particular, we derive sufficient conditions that guarantee the existence of a positive periodic solution which is globally asymptotically stable.

Suggested Citation

  • Shengmao Fu & Fei Qu, 2013. "Global Asymptotic Behavior of a Nonautonomous Competitor-Competitor-Mutualist Model," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, August.
    • Handle: RePEc:hin:jnlaaa:812357
    DOI: 10.1155/2013/812357
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