Discretization Fractional-Order Biological Model with Optimal Harvesting

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2022-05-28 DOI:10.1155/2022/8171037

Barhoom Noor S. Sh., Sadiq Al-Nassir

引用次数: 0

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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具有最优收获的离散化分数阶生物模型

本文研究了一个具有HollingⅢ型函数响应的三维分数阶捕食者模型的离散化问题。它的所有固定点都已确定；并研究了它们的局部稳定性。我们将离散化系统扩展到最优控制问题，以获得最优收获量。为此，使用了离散时间Pontryagin的最大值原理。最后，给出了数值模拟结果，以确认理论输出，并解决最优性问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.