MMN-4766
Incorporating vigilance and harvesting into a discrete predator-prey system with imprecise parameter estimates
Ceyu Lei; Xiaoling Han;Abstract
In this paper, we consider a discrete predator-prey system with imprecise biological parameters, and consider the harvesting of prey and predator. We first study the existence and local stability conditions of the ecological equilibrium points of the system. Secondly, the possible bioeconomic equilibrium points of the system are analyzed. Thirdly, the optimal harvesting strategy and the optimal equilibrium solution are obtained by using the Pontryagin maximum principle. Finally, the feasibility of the theoretical results is verified by numerical simulation, and the influence of various parameters in the model on the population density of prey and predator are analyzed.
Vol. 26 (2025), No. 2, pp. 907-921