Dynamical analysis of a modified Leslie-Gower Holling-type II predator-prey stochastic model in polluted environments with interspecific competition and impulsive toxicant input.

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Yongxin Gao, Shuyuan Yao
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引用次数: 0

Abstract

In this paper, we use a mean-reverting Ornstein-Uhlenbeck process to simulate the stochastic perturbations in the environment, and then a modified Leslie-Gower Holling-type II predator-prey stochastic model in a polluted environment with interspecific competition and pulse toxicant input is proposed. Through constructing V-function and applying Ito^'s formula, the sharp sufficient conditions including strongly persistent in the mean, persistent in the mean and extinction are established. In addition, the theoretical results are verified by numerical simulation.

具有种间竞争和脉冲毒物输入的污染环境中改进的Leslie-Gower holling型II型捕食者-猎物随机模型的动力学分析
本文采用均值回归的Ornstein-Uhlenbeck过程来模拟环境中的随机扰动,在此基础上提出了一种具有种间竞争和脉冲毒物输入的污染环境下改进的Leslie-Gower holling型II型捕食者-猎物随机模型。通过构造v函数并应用Ito^ s公式,建立了强均值持久、均值持久和消光的尖锐充分条件。通过数值模拟对理论结果进行了验证。
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
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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