STATIONARY DISTRIBUTION AND PERSISTENCE OF A STOCHASTIC PREDATOR-PREY MODEL WITH A FUNCTIONAL RESPONSE

被引：16
|
作者：
Lv, Jingliang [1 ]
Liu, Heng [1 ]
Zou, Xiaoling [1 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Wenhua Rd, Weihai 264209, Shandong, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 01期
关键词：
Predator-prey; stationary distribution; persistence in mean; DYNAMICAL BEHAVIOR; POSITIVE SOLUTIONS; INTERFERENCE; ERGODICITY; EXTINCTION; STABILITY; SYSTEM;
D O I：
10.11948/2019.1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stochastic predator-prey model with a functional response is investigated in this paper. The asymptotic properties of the stochastic model are considered here. Under some conditions, we show that the stochastic model is persistent in mean. Moreover, the existence of stationary distribution to the model is obtained. Simulations are also carried out to confirm our analytical results.
引用
收藏
页码：1 / 11
页数：11
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