Stationary distribution of a stochastic predator-prey model with distributed delay and higher order perturbations

被引：13
|
作者：
Cao, Zhongwei [1 ]
Feng, Wei [2 ]
Wen, Xiangdan [3 ]
Zu, Li [4 ]
机构：
[1] Jilin Univ Finance & Econ, Dept Appl Math, Changchun 130017, Jilin, Peoples R China
[2] Jilin Univ, Dept Anesthesiol, China Japan Union Hosp, Changchun 130033, Jilin, Peoples R China
[3] Yanbian Univ, Dept Math, Yanji 133002, Jilin, Peoples R China
[4] Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 521卷
关键词：
Stochastic predator-prey model; Distributed delay; Stationary distribution; Higher order perturbations;
D O I：
10.1016/j.physa.2019.01.058
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study a stochastic predator-prey model with distributed delay and higher order perturbations. By the linear chain technique, we transform the stochastic system with weak kernel case into an equivalent degenerate system which contains three equations. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：467 / 475
页数：9
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