A Stochastic Holling-Type II Predator-Prey Model with Stage Structure and Refuge for Prey

被引：3
|
作者：
Shi, Wanying [1 ]
Huang, Youlin [1 ]
Wei, Chunjin [1 ]
Zhang, Shuwen [1 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2021年 / 2021卷
基金：
中国国家自然科学基金;
关键词：
MODIFIED LESLIE-GOWER; DYNAMICS; SYSTEM; EXTINCTION;
D O I：
10.1155/2021/9479012
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study a stochastic Holling-type II predator-prey model with stage structure and refuge for prey. Firstly, the existence and uniqueness of the global positive solution of the system are proved. Secondly, the stochastically ultimate boundedness of the solution is discussed. Next, sufficient conditions for the existence and uniqueness of ergodic stationary distribution of the positive solution are established by constructing a suitable stochastic Lyapunov function. Then, sufficient conditions for the extinction of predator population in two cases and that of prey population in one case are obtained. Finally, some numerical simulations are presented to verify our results.
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页数：14
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