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Global stability of almost periodic solution of multispecies mutualism system with time delays and impulsive effects

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  • Zhang, Hui
  • Li, Yingqi
  • Jing, Bin
  • Zhao, Weizhou

Abstract

This paper discusses an almost periodic multispecies Lotka–Volterra mutualism system with time delays and impulsive effects. By using the theory of comparison theorem and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the existence and uniqueness and global asymptotical stability of almost periodic solution of this system are obtained. The results of this paper is completed new. An suitable example indicates the feasibility of the main results.

Suggested Citation

  • Zhang, Hui & Li, Yingqi & Jing, Bin & Zhao, Weizhou, 2014. "Global stability of almost periodic solution of multispecies mutualism system with time delays and impulsive effects," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1138-1150.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:1138-1150
    DOI: 10.1016/j.amc.2014.01.131
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    References listed on IDEAS

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    1. Guangzhao Zeng & Lansun Chen & Lihua Sun & Ying Liu, 2004. "Permanence And The Existence Of The Periodic Solution Of The Non-Autonomous Two-Species Competitive Model With Stage Structure," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 7(03n04), pages 385-393.
    2. 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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    Cited by:

    1. 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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