The Global Dynamics of Stochastic Holling Type II Predator-Prey Models with Non Constant Mortality Rate

被引：3
作者：
Zhang, Xinhong [1 ]
机构：
[1] China Univ Petr East China, Coll Sci, Qingdao 266555, Peoples R China
来源：
FILOMAT | 2017年 / 31卷 / 18期
关键词：
Stochastic predator-prey model; Non constant mortality; Persistence in the mean; Periodic solution; STATIONARY DISTRIBUTION; FUNCTIONAL-RESPONSE; RANDOM-ENVIRONMENTS; PERIODIC-SOLUTION; SYSTEM; BIFURCATION;
D O I：
10.2298/FIL1718811Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the global dynamics of stochastic predator-prey models with non constant mortality rate and Holling type II response. Concretely, we establish sufficient conditions for the extinction and persistence in the mean of autonomous stochastic model and obtain a critical value between them. Then by constructing appropriate Lyapunov functions, we prove that there is a nontrivial positive periodic solution to the non-autonomous stochastic model. Finally, numerical examples are introduced to illustrate the results developed.
引用
收藏
页码：5811 / 5825
页数：15
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