具有HOLLINGⅡ型功能反应的RICKER型离散捕食者-被捕食模型中的ALLEE效应

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-04-27 DOI:10.1142/s0218339023500201

H. El-Metwally, A. Khan, M. Y. Hamada

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引用次数: 0

摘要

近年来，受Allee效应影响的捕食者-猎物模型的稳定性已成为一个有趣的问题。本研究研究了Allee效应对具有Holling II型功能反应的离散时间捕食者-猎物模型稳定性的影响。运用平衡分析、稳定性分析和分岔理论，检验了该模型的数学特性。基于中心流形定理和分岔理论，模型经历了翻转分岔和Neimark–Sacker分岔。数值模拟验证了我们的分析结果。

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ALLEE EFFECT IN A RICKER TYPE DISCRETE-TIME PREDATOR–PREY MODEL WITH HOLLING TYPE-II FUNCTIONAL RESPONSE

In recent years, the stability of the predator–prey model subject to the Allee effect has become an interesting issue. This study investigates the effect of Allee effect on the stability of a discrete-time predator–prey model with Holling type-II functional response. Using equilibrium analysis, stability analysis and bifurcation theory, the mathematical characteristics of the proposed model are examined. Model experiences flip bifurcation and Neimark–Sacker bifurcation based on the center manifold theorem and bifurcation theory. Our analytical results are demonstrated by numerical simulations.

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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.