捕食者中具有Holling II递增函数的随机捕食者-猎物模型。

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-12-01 DOI:10.1080/17513758.2020.1859146

Youlin Huang, Wanying Shi, Chunjin Wei, Shuwen Zhang

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引用次数: 15

摘要

本文研究了一个随机捕食者-猎物模型，该模型在捕食者中具有Holling II递增函数。利用Lyapunov分析方法，证明了全局正解的存在唯一性。然后我们证明了在模型中存在一个平稳分布，这意味着捕食者和猎物的随机持久性。此外，我们还分别得到了捕食者灭绝和被捕食者灭绝的充分条件。最后，通过一些数值模拟来说明我们的主要结果，并给出了讨论和结论。

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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A stochastic predator-prey model with Holling II increasing function in the predator.

This paper is concerned with a stochastic predator-prey model with Holling II increasing function in the predator. By applying the Lyapunov analysis method, we demonstrate the existence and uniqueness of the global positive solution. Then we show there is a stationary distribution which implies the stochastic persistence of the predator and prey in the model. Moreover, we obtain respectively sufficient conditions for weak persistence in the mean and extinction of the prey and extinction of the predator. Finally, some numerical simulations are given to illustrate our main results and the discussion and conclusion are presented.

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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.