Analysis of a nonautonomous stochastic predator-prey model with Crowley-Martin functional response

被引：4
|
作者：
Zhang, Yan [1 ,2 ]
Chen, Shihua [1 ]
Gao, Shujing [2 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430000, Peoples R China
[2] Gannan Normal Univ, Coll Math & Comp Sci, Ganzhou 341000, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
基金：
中国国家自然科学基金;
关键词：
stochastic nonautonomous model; persistence; extinction; functional response; EPIDEMIC MODEL; PERTURBATION; PERSISTENCE; STABILITY; SYSTEMS;
D O I：
10.1186/s13662-016-0993-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页数：28
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