QUALITATIVE ANALYSIS OF A STOCHASTIC RATIO-DEPENDENT HOLLING-TANNER SYSTEM

被引：0

作者：

付静 ^{[1
]}

蒋达清 ^{[2
,3
,4
]}

史宁中 ^{[2
]}

Tasawar HAYAT ^{[3
,5
]}

Ahmed ALSAEDI ^{[3
]}

机构：

[1] School of Mathematics, Changchun Normal University

[2] School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE,Northeast Normal University

[3] Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University

[4] College of Science, China University of Petroleum (East China)

[5] Department of Mathematics, Quaid-i-Azam University

来源：

Acta Mathematica Scientia | 2018年 / 38卷 / 02期

基金：

中央高校基本科研业务费专项资金资助;

关键词：

Stochastic ratio-dependent Holling-Tanner system; persistence in mean; stationary distribution;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This article addresses a stochastic ratio-dependent predator-prey system with Leslie-Gower and Holling type II schemes. Firstly, the existence of the global positive solution is shown by the comparison theorem of stochastic differential equations. Secondly, in the case of persistence, we prove that there exists a ergodic stationary distribution. Finally, numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.

引用

页码：429 / 440

页数：12

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