Dynamics of a stochastic modified Leslie-Gower predator-prey system with hunting cooperation.

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-12-01 Epub Date: 2024-06-20 DOI:10.1080/17513758.2024.2366495

Chao Li, Peilin Shi

引用次数: 0

Abstract

In this paper, we consider a stochastic two-species predator-prey system with modified Leslie-Gower. Meanwhile, we assume that hunting cooperation occurs in the predators. By using Itô formula and constructing a proper Lyapunov function, we first show that there is a unique global positive solution for any given positive initial value. Furthermore, based on Chebyshev inequality, the stochastic ultimate boundedness and stochastic permanence are discussed. Then, under some conditions, we prove the persistence in mean and extinction of system. Finally, we verify our results by numerical simulations.

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具有狩猎合作的随机修正莱斯利-高尔捕食者-猎物系统的动力学。

在本文中，我们考虑了一个改良莱斯利-高尔（Leslie-Gower）随机双物种捕食者-猎物系统。同时，我们假设捕食者之间存在狩猎合作。通过使用 Itô 公式和构建适当的 Lyapunov 函数，我们首先证明了对于任何给定的正初始值，都存在唯一的全局正解。此外，基于切比雪夫不等式，我们还讨论了随机终极有界性和随机永久性。然后，在某些条件下，我们证明了系统的均值持久性和消亡性。最后，我们通过数值模拟验证了我们的结果。

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.