Discretization Fractional-Order Biological Model with Optimal Harvesting

Barhoom Noor S. Sh., Sadiq Al-Nassir and Simeon Reich

Abstract and Applied Analysis, 2022, vol. 2022, 1-10

Abstract: 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:8171037

DOI: 10.1155/2022/8171037

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