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Discretization Fractional-Order Biological Model with Optimal Harvesting

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  • Barhoom Noor S. Sh.
  • Sadiq Al-Nassir
  • Simeon Reich

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.

Suggested Citation

  • Barhoom Noor S. Sh. & Sadiq Al-Nassir & Simeon Reich, 2022. "Discretization Fractional-Order Biological Model with Optimal Harvesting," Abstract and Applied Analysis, Hindawi, vol. 2022, pages 1-10, May.
    • Handle: RePEc:hin:jnlaaa:8171037
    DOI: 10.1155/2022/8171037
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