Optimal harvest for predator–prey fishery models with variable price and marine protected area

Chu, Cheng; Liu, Wenjun; Lv, Guangying; Moussaoui, Ali; Auger, Pierre

doi:10.1016/j.cnsns.2024.107992

Communications in Nonlinear Science and Numerical Simulation

2024

DOI: 10.1016/j.cnsns.2024.107992

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Optimal harvest for predator–prey fishery models with variable price and marine protected area

Cheng Chu,

Wenjun Liu,

Guangying Lv

et al.

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Cited by 4 publications

References 22 publications

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Dynamical analysis of a prey-predator-tourist model: Environmental preferences and optimal fee control

Delpini,

Melis,

Russu

2025

Chaos, Solitons & Fractals

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Dynamical analysis of a prey-predator-tourist model: Environmental preferences and optimal fee control

Delpini,

Melis,

Russu

2025

Chaos, Solitons & Fractals

View full text Add to dashboard Cite

Sustainable management of predatory fish affected by an Allee effect through marine protected areas and taxation

Yuan,

Liu,

et al. 2024

Mathematical Biosciences

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Dynamic Analysis and Optimal Control of a Fractional Order Fishery Model with Refuge and Protected Area

Gao,

Jia,

Shi

2024

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In this paper, a mathematical analysis of fractional order fishery model with stage structure for predator is carried out under the background of prey refuge and protected area. First, it is demonstrated that the solution exists and is unique. The paper aims to analyze predator-prey dynamics in a fishery model through the application of fractional derivatives. It is worth emphasizing that we explicitly examine how fractional derivatives affect the dynamics of the model. The existence of each equilibrium point and the stability of the system at the equilibrium point are proved. The theoretical results are proved by numerical simulation. Alternatively, allocate harvesting efforts within an improved model aimed at maximizing economic benefits and ecologically sustainable development. The ideal solution is obtained by applying Pontryagin’s optimal control principle. A large number of numerical simulations show that the optimal control scheme can realize the sustainable development of the ecosystem.

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Optimal harvest for predator–prey fishery models with variable price and marine protected area

Cited by 4 publications

References 22 publications

Dynamical analysis of a prey-predator-tourist model: Environmental preferences and optimal fee control

Dynamical analysis of a prey-predator-tourist model: Environmental preferences and optimal fee control

Sustainable management of predatory fish affected by an Allee effect through marine protected areas and taxation

Dynamic Analysis and Optimal Control of a Fractional Order Fishery Model with Refuge and Protected Area

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