In this paper, a discretization of a three-dimensional fractional-order prey-predator model has been investigated with Holling type III functional response. All its fixed points are determined; also, their local stability is investigated. We extend the discretized system to an optimal control problem to get the optimal harvesting amount. For this, the discrete-time Pontryagin’s maximum principle is used. Finally, numerical simulation results are given to confirm the theoretical outputs as well as to solve the optimality problem.
"Discretization Fractional-Order Biological Model with Optimal Harvesting." Abstr. Appl. Anal. 2022 1 - 10, 2022. https://doi.org/10.1155/2022/8171037