Qualitative Behavior of a Discrete-Time Predator–Prey Model With Holling-Type III Functional Response and Gompertz Growth of Prey

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-06-25 DOI:10.1002/mma.11087

M. B. Almatrafi, Messaoud Berkal, M. Y. Hamada

引用次数: 0

Abstract

This paper investigates the bifurcation dynamics of a discrete-time predator–prey model with a Holling-type III functional response and Gompertz growth for the prey. Using the forward Euler discretization, we analyze the local stability of fixed points and explore the occurrence of flip and Neimark–Sacker bifurcations. Additionally, we employ state feedback control to regulate chaotic behavior. Numerical simulations illustrate the impact of parameter variations on system dynamics, complementing the theoretical analysis. This study provides insights into the complex behaviors that arise in discrete predator–prey interactions.

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具有holling - III型功能响应和猎物Gompertz生长的离散时间捕食者-猎物模型的定性行为

本文研究了具有holling - III型功能响应和猎物Gompertz生长的离散时间捕食者-猎物模型的分岔动力学。利用正演欧拉离散分析了不动点的局部稳定性，并探讨了翻转和neimmark - sacker分岔的发生。此外，我们采用状态反馈控制来调节混沌行为。数值模拟说明了参数变化对系统动力学的影响，补充了理论分析。这项研究提供了对在离散的捕食者-猎物相互作用中出现的复杂行为的见解。

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

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.