Bifurcation and Stability Analysis of a Discrete Predator–Prey Model with Alternative Prey

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-05 DOI:10.1007/s12346-024-01092-y

Ceyu Lei, Xiaoling Han, Weiming Wang

引用次数: 0

Abstract

In this paper, we investigate the dynamics of a class of discrete predator–prey model with alternative prey. We prove the boundedness of the solution, the existence and local/global stability of equilibrium points of the model, and verify the existence of flip bifurcation and Neimark-Sacker bifurcation. In addition, we use the maximum Lyapunov exponent and isoperimetric diagrams to verify the existence of periodic structures namely Arnold tongue and the shrimp-shaped structures in bi-parameter spaces of a class of predator–prey model.

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具有备选猎物的离散捕食者-猎物模型的分岔和稳定性分析

本文研究了一类具有替代猎物的离散捕食者-猎物模型的动力学。我们证明了解的有界性、模型平衡点的存在性和局部/全局稳定性，并验证了翻转分岔和 Neimark-Sacker 分岔的存在性。此外，我们还利用最大李雅普诺夫指数和等周图验证了一类捕食者-猎物模型的双参数空间中存在周期性结构，即阿诺德舌和虾形结构。

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.