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Positive Periodic Solutions in a Discrete Time Three Species Competition System

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  • Changjin Xu
  • Yusen Wu

Abstract

A periodic discrete time three species competition system is investigated. With the aid of differential equations with piecewise constant arguments, a discrete analogue of continuous nonautonomous three species competition system is proposed. By using Gaines and Mawhin′s continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive periodic solutions of the model are obtained.

Suggested Citation

  • Changjin Xu & Yusen Wu, 2013. "Positive Periodic Solutions in a Discrete Time Three Species Competition System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:963046
    DOI: 10.1155/2013/963046
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    References listed on IDEAS

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    1. Yongkun Li, 2005. "Positive periodic solutions of a discrete mutualism model with time delays," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-8, January.
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