STABILITY AND BIFURCATION IN A PREDATOR–PREY MODEL WITH PREY REFUGE

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-05-26 DOI:10.1142/s0218339023500146

Wenchang Chen, Hengguo Yu, Chuanjun Dai, Qing Guo, He Liu, Min Zhao

引用次数: 0

Abstract

In this paper, a predator–prey model with prey refuge was developed to investigate how prey refuge affect the dynamics of predator–prey interaction. We studied the existence and stability of equilibria, and then derived the sufficient conditions for the bifurcation such as saddle-node, transcritical, Hopf and Bogdanov–Takens bifurcation. In addition, a series of numerical simulations were carried out to illustrate the theoretical analysis, and the numerical results are consistent with the analytical results. Our results demonstrate that prey refuge has a great impact on the predator–prey dynamics.

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具有猎物庇护的捕食者-猎物模型的稳定性和分岔

在本文中，建立了一个具有猎物避难所的捕食者-猎物模型，以研究猎物避难所如何影响捕食者-猎物相互作用的动力学。我们研究了平衡点的存在性和稳定性，然后导出了分岔的充分条件，如鞍节点、跨临界、Hopf和Bogdanov-Takens分岔。此外，还进行了一系列数值模拟来说明理论分析，数值结果与分析结果一致。我们的研究结果表明，猎物避难所对捕食者-猎物的动力学有很大影响。

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

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.