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

被引：2

作者：

Fu, Jing ^{[1
]}

Jiang, Daqing ^{[2
,3
,4
]}

Shi, Ningzhong ^{[2
]}

Hayat, Tasawar ^{[3
,5
]}

Alsaedi, Ahmed ^{[3
]}

机构：

[1] Changchun Normal Univ, Sch Math, Changchun 130032, Jilin, Peoples R China

[2] Northeast Normal Univ, Key Lab Appl Stat MOE, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 121589, Saudi Arabia

[4] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

[5] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan

来源：

ACTA MATHEMATICA SCIENTIA | 2018年 / 38卷 / 02期

关键词：

Stochastic ratio-dependent Holling-Tanner system; persistence in mean; stationary distribution; PREDATOR-PREY MODEL; MODIFIED LESLIE-GOWER; GLOBAL STABILITY; II SCHEMES; PERTURBATION; PERSISTENCE;

D O I：

10.1016/S0252-9602(18)30758-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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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