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Discretization Fractional‐Order Biological Model with Optimal Harvesting

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

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, 2022. "Discretization Fractional‐Order Biological Model with Optimal Harvesting," Abstract and Applied Analysis, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlaaa:v:2022:y:2022:i:1:n:8171037
    DOI: 10.1155/2022/8171037
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    References listed on IDEAS

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    1. Ghanbari, Behzad & Djilali, Salih, 2020. "Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. Al-Nassir, Sadiq, 2021. "Dynamic analysis of a harvested fractional-order biological system with its discretization," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
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