A new analytical study of prey–predator dynamical systems involving the effects of Hide-and-Escape and predation skill augmentation

Q3 Mathematics

Results in Control and Optimization Pub Date : 2024-06-25 DOI:10.1016/j.rico.2024.100449

Warif B. Bassim , Abdulghafoor J. Salem , Ali Hasan Ali

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引用次数: 0

Abstract

The aim of this work is to provide a comprehensive analysis of the dynamics within an ecosystem characterized by interactions between prey and predators, through a combination of theoretical analysis and numerical simulation. The study investigates the impact of two pivotal effects: the “Hide-and-Escape” behavior exhibited by prey and the “Predation Skill Augmentation” strategy adopted by predators. Theoretical analysis identifies three equilibrium points, all of which show positive characteristics. Furthermore, local stability conditions are determined for each of these equilibrium points. The derivation of global stability conditions is also presented, and their validity and importance as local stability conditions for the coexistence point are demonstrated. In addition, Kolmogorov conditions for coexistence and extinction are verified, as well as local bifurcation analysis. For the validity of the results, a numerical simulation of the system using MATLAB is conducted.

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涉及 "躲猫猫 "和捕食技能增强效应的猎物-捕食者动态系统的新分析研究

这项研究的目的是通过理论分析和数值模拟相结合的方法，全面分析以猎物和捕食者之间相互作用为特征的生态系统内的动态。研究调查了两个关键效应的影响：猎物表现出的 "隐藏和逃避 "行为和捕食者采取的 "捕食技能增强 "策略。理论分析确定了三个平衡点，它们都表现出积极的特征。此外，还确定了每个平衡点的局部稳定条件。同时还提出了全局稳定条件的推导，并证明了它们作为共存点局部稳定条件的有效性和重要性。此外，还验证了共存和消亡的柯尔莫哥洛夫条件，以及局部分岔分析。为了验证结果的有效性，使用 MATLAB 对系统进行了数值模拟。

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

Results in Control and Optimization Mathematics-Control and Optimization

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

91 days