Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-19 DOI:10.1016/j.nonrwa.2024.104232

Víctor Castellanos , Jaume Llibre

引用次数: 0

Abstract

In this paper, we analyze the persistence of three species in a three-level food chain model. We characterize when such a model exhibits a zero-Hopf equilibrium point and show that it is possible only if the functional responses in the model are of type Holling III or IV.

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具有霍林功能响应的三营养食物链模型中的持久性和零霍普夫平衡

本文分析了三级食物链模型中三个物种的持久性。我们描述了这种模型何时会出现零霍普夫平衡点，并证明只有当模型中的功能反应属于霍林 III 型或 IV 型时，才有可能出现零霍普夫平衡点。

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.