Modelling the prudent predation in predator–prey interactions

IF 5.4 3区材料科学 Q2 CHEMISTRY, PHYSICAL

ACS Applied Energy Materials Pub Date : 2024-09-30 DOI:10.1016/j.matcom.2024.09.031

Jiang Li , Xianning Liu , Yangjiang Wei

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引用次数: 0

Abstract

Prudent predators may evolve a strategy of prudent feed at a suitable rate, which is detrimental to their survival, but would not overexploit the prey thus is beneficial to the sustainability of resources. In this paper, by introducing a prey-dependent predation rate function, a two prey and one predator system with prudent predation is established, and the dynamics of the system as well as its subsystems are investigated. The existence and stability of the equilibrium are analyzed and the occurrence of Hopf bifurcation is studied. Numerical simulations are carried out to verify the analytical results and expand the theoretical analyses: (i) In the subsystems, it is possible to have multiple Hopf bifurcation points and prudence acts as a stabilizing factor; (ii) Suitable level of prudence will benefit the predator while sustaining the prey; (iii) Prudent predation can stabilize the system from chaos, which means chaotic dynamics can be controlled by the prudent predation. These results may reveal the important role of predator initiative in predator–prey interactions and enrich the dynamics of predator–prey system.

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建立捕食者-猎物相互作用中谨慎捕食的模型

谨慎的捕食者可能会演化出一种以适当速率谨慎捕食的策略，这种策略不利于捕食者的生存，但不会过度捕食猎物，从而有利于资源的可持续性。本文通过引入依赖于猎物的捕食率函数，建立了一个具有谨慎捕食的两只猎物和一只捕食者系统，并对该系统及其子系统的动力学进行了研究。分析了平衡的存在性和稳定性，并研究了霍普夫分岔的发生。通过数值模拟验证了分析结果，并扩展了理论分析：(i) 在子系统中，有可能出现多个霍普夫分岔点，而谨慎捕食是一个稳定因素；(ii) 适当的谨慎程度将有利于捕食者，同时维持猎物的生存；(iii) 谨慎捕食可以使系统从混乱中稳定下来，这意味着混乱的动力学可以被谨慎捕食所控制。这些结果可以揭示捕食者的主动性在捕食者-被捕食者相互作用中的重要作用，丰富捕食者-被捕食者系统的动力学。

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

ACS Applied Energy Materials Materials Science-Materials Chemistry

CiteScore

10.30

自引率

6.20%

发文量

1368

期刊介绍： ACS Applied Energy Materials is an interdisciplinary journal publishing original research covering all aspects of materials, engineering, chemistry, physics and biology relevant to energy conversion and storage. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important energy applications.