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Hopf bifurcation in an age-structured predator–prey system with Allee effect and prey refuge

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  • Wang, Huifang
  • Liu, Zhihua

Abstract

In this paper, an age-structured predator–prey model with Allee effect and prey refuge is investigated. We formulate the model as an abstract non-densely defined Cauchy problem and derive the condition which guarantees the existence and uniqueness of positive age-dependent equilibrium for the model. Bifurcation analysis indicates that the system undergoes a Hopf bifurcation which is the main result of this paper. We also carry out numerical simulations to illustrate the result.

Suggested Citation

  • Wang, Huifang & Liu, Zhihua, 2025. "Hopf bifurcation in an age-structured predator–prey system with Allee effect and prey refuge," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925011646
    DOI: 10.1016/j.chaos.2025.117151
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    References listed on IDEAS

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    1. Xie, Yingkang & Lu, Junwei & Wang, Zhen, 2019. "Stability analysis of a fractional-order diffused prey–predator model with prey refuges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    2. Pal, Pallav Jyoti & Saha, Tapan, 2015. "Qualitative analysis of a predator–prey system with double Allee effect in prey," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 36-63.
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