Persistence and extinction of a modified Leslie–Gower Holling-type II two-predator one-prey model with Lévy jumps

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-03-14 DOI:10.1080/17513758.2022.2050313

Yongxin Gao, Fan Yang

引用次数: 2

Abstract

This paper is concerned with a modified Leslie–Gower and Holling-type II two-predator one-prey model with Lévy jumps. First, we use an Ornstein–Uhlenbeck process to describe the environmental stochasticity and prove that there is a unique positive solution to the system. Moreover, sufficient conditions for persistence in the mean and extinction of each species are established. Finally, we give some numerical simulations to support the main results.

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具有lsamvy跳跃的改进的Leslie-Gower holling型II双捕食者单猎物模型的持续和灭绝

本文研究了一类具有lsamvy跳跃的改进的Leslie-Gower和holling - II型双捕食者单猎物模型。首先，我们利用Ornstein-Uhlenbeck过程来描述系统的环境随机性，并证明了系统存在唯一正解。此外，还建立了每一物种平均存续和灭绝的充分条件。最后，给出了一些数值模拟来支持主要结果。

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.

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