Dynamics of a stochastic Holling-Tanner predator-prey model

被引：8
作者：
Li, Haihong [1 ]
Cong, Fuzhong [2 ]
机构：
[1] Jilin Jianzhu Univ, Dept Basic Sci, Changchun 130118, Jilin, Peoples R China
[2] Air Force Aviat Univ, Dept Basic Courses, Changchun 130022, Jilin, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 531卷
关键词：
Holling-Tanner predator-prey model; Stationary distribution and ergodicity; Extinction; Threshold; LESLIE-GOWER; SYSTEM;
D O I：
10.1016/j.physa.2019.121761
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the paper, we study a stochastic Holling-Tanner predator-prey system. First, by constructing a suitable stochastic Lyapunov function we establish sufficient conditions for the existence of a unique ergodic stationary distribution of the positive solutions to the system. After that, sufficient causes for extinction of the predator population is obtained. Meanwhile, we also obtain the threshold between persistence and extinction of the predator population. At last, some examples and numerical simulations are provided to illustrate our theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
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页数：8
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