Discretization Fractional-Order Biological Model with Optimal Harvesting. (28th May 2022)

• Record Type: Journal Article
• Authors: Noor S. Sh., Barhoom; Al-Nassir, Sadiq
• Other Names: Reich Simeon Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2022(2022)
• Publication Date: 2022-05-28
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2022/8171037
• Languages: English
• ISSNs: 1085-3375

Abstract

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.