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Periodic solutions for a neutral delay Hassell–Varley type predator–prey system

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  • Zhang, Guodong
  • Shen, Yi

Abstract

The main aim of this paper is to discuss the neutral predator–prey model with Hassell–Varley type functional response and two time-varying delays. Some new sufficient conditions are obtained for the existence of positive periodic solutions by applying the coincidence degree theorem. Finally, numerical simulations are then carried out as supporting evidences of our analytical results.

Suggested Citation

  • Zhang, Guodong & Shen, Yi, 2015. "Periodic solutions for a neutral delay Hassell–Varley type predator–prey system," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 443-452.
    • Handle: RePEc:eee:apmaco:v:264:y:2015:i:c:p:443-452
    DOI: 10.1016/j.amc.2015.04.110
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    Cited by:

    1. Zhao, Kaihong, 2023. "Local exponential stability of several almost periodic positive solutions for a classical controlled GA-predation ecosystem possessed distributed delays," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    2. Zhao, Qiuyue & Liu, Shutang & Tian, Dadong, 2018. "Dynamic behavior analysis of phytoplankton–zooplankton system with cell size and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 160-168.

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