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2022 Discretization Fractional-Order Biological Model with Optimal Harvesting
Barhoom Noor S. Sh., Sadiq Al-Nassir
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Abstr. Appl. Anal. 2022: 1-10 (2022). DOI: 10.1155/2022/8171037

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.

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Barhoom Noor S. Sh.. Sadiq Al-Nassir. "Discretization Fractional-Order Biological Model with Optimal Harvesting." Abstr. Appl. Anal. 2022 1 - 10, 2022. https://doi.org/10.1155/2022/8171037

Information

Received: 16 March 2022; Revised: 3 May 2022; Accepted: 10 May 2022; Published: 2022
First available in Project Euclid: 28 July 2022

Digital Object Identifier: 10.1155/2022/8171037

Rights: Copyright © 2022 Hindawi

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