Dynamical Analysis of a Stochastic Predator-Prey System with Lévy Noise and Impulsive Toxicant Input

Xiaowan She; Yuanfu Shao; Taolin Zhang

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Dynamical Analysis of a Stochastic Predator-Prey System with Lévy Noise and Impulsive Toxicant Input

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This paper established a modified Leslie-Gower and Holling-type IV stochastic predator-prey model with Lévy noise and impulsive toxicant input. We study the stability in distribution of solutions by inequality techniques and ergodic method. By comparison method and Itô’s formula, we obtain the sufficient conditions for the survival of each species. Some numerical simulations are introduced to show the theoretical results.

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《应用数学与应用物理（英文）》 |2020年第9期|P.1999-2019|共21页
作者
Xiaowan She; Yuanfu Shao; Taolin Zhang;
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作者单位

College of Science Guilin University of Technology Guilin China;

College of Science Guilin University of Technology Guilin China;

College of Science Guilin University of Technology Guilin China;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
Lévy Noise; Impulsive Toxicant Input; Comparison Method; Extinction and Persistence;

机译：Lévy噪音;脉冲毒性输入;比较方法;灭绝和持久性;

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Dynamical Analysis of a Stochastic Predator-Prey System with Lévy Noise and Impulsive Toxicant Input

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