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

Author

Listed:
  • 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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    Citations

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    Cited by:

    1. Chao Liu & Yuanke Li, 2014. "Global Stability Analysis of a Nonautonomous Stage‐Structured Competitive System with Toxic Effect and Double Maturation Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    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.
    3. Hui Zhang & Bin Jing & Yingqi Li & Xiaofeng Fang, 2014. "Global Analysis of Almost Periodic Solution of a Discrete Multispecies Mutualism System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

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