An optimal control problem for a predator–prey model with strong and weak preys

Paulo Rebelo and Silvério Rosa

Chaos, Solitons & Fractals, 2025, vol. 191, issue C

Abstract: The aim of this paper is to study an optimal control problem for a non-autonomous model with one predator and two prey species, one strong and the other weak. The resulting model incorporates a weak Allee effect in the strong prey, seasonal breeding in both preys, and an extra-food supply. The model takes into account the death rate of predators, which results in a decrease in their biomass. We prove the existence, uniqueness, and qualitative properties of the solutions. The optimal control problem aims to control the predator population by considering three strategies. Simulation results show the usefulness and efficacy of the proposed control measures to manage the predator biomass.

Keywords: Predator–prey model; Non-autonomous control system; Optimal control; Numerical simulation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013900

DOI: 10.1016/j.chaos.2024.115838

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