文章基本信息

标题：Persistence and extinction of a stochastic predator–prey model with modified Leslie–Gower and Holling-type II schemes
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作者：Dengxia Zhou ; Meng Liu ; Zhijun Liu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-15
DOI：10.1186/s13662-020-02642-9
出版社：Hindawi Publishing Corporation
摘要：In this paper, we use an Ornstein–Uhlenbeck process to describe the environmental stochasticity and propose a stochastic predator–prey model with modified Leslie–Gower and Holling-type II schemes. For each species, sharp sufficient conditions for persistence in the mean and extinction are respectively obtained. The results demonstrate that the persistence and extinction of the species have close relationships with the environmental stochasticity. In addition, the theoretical results are numerically illustrated by some simulations.
关键词：Persistence in the mean;Extinction;Itô’s formula;Intensity of noise;