文章基本信息

标题：Analysis of a nonautonomous stochastic predator-prey model with Crowley-Martin functional response
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作者：Yan Zhang ; Shihua Chen ; Shujing Gao 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：2016
卷号：2016
期号：1
页码：264
DOI：10.1186/s13662-016-0993-1
语种：English
出版社：Hindawi Publishing Corporation
摘要：The objective of this paper is to study some qualitative dynamic properties of a nonautonomous predator-prey model with stochastic perturbation and Crowley-Martin functional response. The existence of a global positive solution and stochastically ultimate boundedness are obtained. Sufficient conditions for extinction, persistence in the mean, and stochastic permanence of the system are established. We also derive conditions to guarantee the global attractiveness and stochastic persistence in probability of the model. Our theoretical results are confirmed by numerical simulations.
关键词：stochastic nonautonomous model ; persistence ; extinction ; functional response