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Almost periodic sequence solution of a discrete Hassell–Varley predator-prey system with feedback control

Author

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  • Xie, Xiaoli
  • Zhang, Chunhua
  • Chen, Xiaoxing
  • Chen, Jiangyong

Abstract

In this paper, we investigate a discrete Hassell–Varley response function predator-prey system with feedback control. First, sufficient conditions are established for the permanence of the system. Then, assuming that the coefficients of the system is almost periodic sequences, we obtain conditions for the existence and unique of the almost periodic solution. Moreover, the almost periodic solution we obtained is uniformly asymptotically stable.

Suggested Citation

  • Xie, Xiaoli & Zhang, Chunhua & Chen, Xiaoxing & Chen, Jiangyong, 2015. "Almost periodic sequence solution of a discrete Hassell–Varley predator-prey system with feedback control," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 35-51.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:35-51
    DOI: 10.1016/j.amc.2015.06.034
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    Cited by:

    1. Shang, Zuchong & Qiao, Yuanhua & Duan, Lijuan & Miao, Jun, 2021. "Bifurcation analysis in a predator–prey system with an increasing functional response and constant-yield prey harvesting," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 976-1002.
    2. Zhang, Limin & Zhang, Chaofeng & He, Zhirong, 2019. "Codimension-one and codimension-two bifurcations of a discrete predator–prey system with strong Allee effect," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 155-178.

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