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Existence of positive periodic solution of mutualism system with several delays

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  • Wu, Haihui
  • Xia, Yonghui
  • Lin, Muren

Abstract

In this paper, by using Mawhin coincidence degree, some sufficient conditions are obtained for the global existence of positive periodic solutions of a mutualism systems with bounded and unbounded delays. Our results generalize significantly improve those of Gopalsamy and He [Gopalsamy K, He XZ. Persistence, attractivity, and delay in facultative mutualism. J Math Anal Appl 1997;215:154–73], Yang et al. [Yang F, Jiang D, Ying A. Existence of positive solution of multidelays facultative mutualism system. J Eng Math 2002;3:64–8], Chen et al. [Chen FD, Shi JL, Chen XX. Periodicity in Lotka–Volterra facultative mutualism system with several delays. J Eng Math 2004;21(3)] and Xia and Lin [Xia YH, Lin M, Existence of positive periodic solution of mutualism system with infinite delays. Ann Diff Eqs 2005;21(3):448–53].

Suggested Citation

  • Wu, Haihui & Xia, Yonghui & Lin, Muren, 2008. "Existence of positive periodic solution of mutualism system with several delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 487-493.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:2:p:487-493
    DOI: 10.1016/j.chaos.2006.06.069
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    Cited by:

    1. Xinhong Zhang & Daqing Jiang, 2020. "Periodic Solutions of a Stochastic Food-Limited Mutualism Model," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 267-278, March.
    2. Han, Qixing & Jiang, Daqing, 2015. "Periodic solution for stochastic non-autonomous multispecies Lotka–Volterra mutualism type ecosystem," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 204-217.

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