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Permanence And The Existence Of The Periodic Solution Of The Non-Autonomous Two-Species Competitive Model With Stage Structure

Author

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  • GUANGZHAO ZENG

    (Department of Applied Mathematics, Dalian University of Technology, DaLian, LiaoNing, 116024, P. R. China;
    Department of Mathematics, Shaoguan University, ShaoGuan, GuangDong, 512005, P. R. China)

  • LANSUN CHEN

    (Department of Applied Mathematics, Dalian University of Technology, DaLian, LiaoNing, 116024, P. R. China)

  • LIHUA SUN

    (Department of Applied Mathematics, Dalian University of Technology, DaLian, LiaoNing, 116024, P. R. China)

  • YING LIU

    (Department of Mathematics, Shaoguan University, ShaoGuan, GuangDong, 512005, P. R. China)

Abstract

This paper considers a non-autonomous competitive two-species model with stage structure in one species. The conditions of permanence obtained. Furthermore, the existence and asymptotic stability of the periodic solution are proved under some assumptions if this model turns out to be a periodic system.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:acsxxx:v:07:y:2004:i:03n04:n:s0219525904000238
    DOI: 10.1142/S0219525904000238
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    Cited by:

    1. Maiti, Atasi Patra & Dubey, B. & Chakraborty, A., 2019. "Global analysis of a delayed stage structure prey–predator model with Crowley–Martin type functional response," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 58-84.
    2. 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.

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