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

共 50 条

[21] Turing-Hopf Bifurcation and Spatio-Temporal Patterns of a Ratio-Dependent Holling-Tanner Model with Diffusion
An, Qi
Jiang, Weihua
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (09):
[22] A Modified Holling-Tanner Model in Stochastic Environment
Maiti, A.
Pathak, S.
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2009, 14 (01): : 51 - 71
[23] Stochastic persistence and stability analysis of a modified Holling-Tanner model
Mandal, Partha Sarathi
Banerjee, Malay
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (10) : 1263 - 1280
[24] Qualitative analysis on the diffusive Holling-Tanner predator-prey model
Zhao, Xu
Zhou, Wenshu
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023, (41)
[25] Qualitative analysis of a stochastic ratio-dependent predator-prey system
Ji, Chunyan
Jiang, Daqing
Li, Xiaoyue
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (05) : 1326 - 1341
[26] Stability and Hopf Bifurcation in a delayed ratio dependent Holling-Tanner type model
Celik, Canan
APPLIED MATHEMATICS AND COMPUTATION, 2015, 255 : 228 - 237
[27] Delay-induced Hopf bifurcation in a diffusive Holling-Tanner predator-prey model with ratio-dependent response and Smith growth
Fang, Huiping
Hu, Ling
Wu, Yongfeng
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[28] Qualitative Analysis of a Diffusive Three-Species Model with the Holling-Tanner Scheme
Hu, Guangping
Li, Xiaoling
Lu, Shiping
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (01) : 35 - 50
[29] Qualitative analysis of a strongly coupled predator-prey system with modified Holling-Tanner functional response
Zeng, Rong
BOUNDARY VALUE PROBLEMS, 2018,
[30] Dynamics of a stochastic Holling-Tanner predator-prey model
Li, Haihong
Cong, Fuzhong
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 531

← 1 2 3 4 5 →