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

Huifang Wang and Zhihua Liu

Chaos, Solitons & Fractals, 2025, vol. 201, issue P1

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.

Keywords: Hopf bifurcation; Non-densely defined Cauchy problem; Age-structured model; Allee effect; Prey refuge (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925011646

DOI: 10.1016/j.chaos.2025.117151

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