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Dynamic properties and fishing behavior analysis of a predator-prey model with carrying-over fear and Allee effects
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DOI：10.1016/j.chaos.2025.117210.png)
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Abstract
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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.
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