 Dynamic properties and fishing behavior analysis of a predator-prey model with carrying-over fear and Allee effectsYang Liu, Yuan Tian and Kaibiao Sun Chaos, Solitons & Fractals, 2025, vol. 201, issue P1 Abstract: This study investigates the dynamic characteristics and fishing behavior of a fishery predator–prey model, in which the prey growth is regulated by both the Allee effect and the carrying-over fear effect. The key outcomes are as follows: First, by analyzing the bifurcation scenarios under different parameter conditions using bifurcation theory, it is revealed that the system undergoes a saddle–node bifurcation with variations in key parameters. Second, to facilitate the sustainable exploitation of fish resources, a feedback control model integrating a weighted fishing strategy is constructed. Through the application of Poincaré mapping, successor functions, and the Analogue of Poincaré criterion, the existence and stability of the order-1 and order-2 periodic solutions of the system are verified. Finally, numerical simulations are conducted, which not only validate the theoretical findings but also provide practical implications, offering a more effective method for modern fisheries management. Keywords: Allee effect; Carrying-over fear effect; Periodic solution; Saddle–node bifurcation; Threshold fishing (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925012238 DOI: 10.1016/j.chaos.2025.117210 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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