具有阿利效应的非线性离散捕食者-猎物系统的复杂动力学

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-20 DOI:10.1515/math-2024-0013

Jing Wang, Ceyu Lei

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引用次数: 0

摘要

捕食者的强阿利效应和弱阿利效应之间的过渡提供了生态学中一个简单的机制转换。本文研究了一个具有霍林 II 型功能响应和阿利效应的离散捕食者-猎物系统。首先，讨论了系统的固定点数、局部稳定性和全局稳定性。分别利用空线和方向场证明了强或弱阿利效应下捕食者和猎物的种群变化。其次，利用分岔理论，得到了系统在平衡点发生跨临界分岔和 Neimark-Sacker 分岔的分岔条件。最后，通过分岔图、相图和最大李雅普诺夫指数图的数值模拟分析了系统的动态行为。结果表明，系统会产生周期态、准周期态和混沌等复杂的动态现象。

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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Complex dynamics of a nonlinear discrete predator-prey system with Allee effect

The transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. In this article, we study a discrete predator-prey system with Holling type II functional response and Allee effect. First, the number of fixed points of the system, local stability, and global stability is discussed. The population changes of predator and prey under strong or weak Allee effects are proved using the nullclines and direction field, respectively. Second, using the bifurcation theory, the bifurcation conditions for the system to undergo transcritical bifurcation and Neimark-Sacker bifurcation at the equilibrium point are obtained. Finally, the dynamic behavior of the system is analyzed by numerical simulation of bifurcation diagram, phase diagram, and maximum Lyapunov exponent diagram. The results show that the system will produce complex dynamic phenomena such as periodic state, quasi-periodic state, and chaos.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.