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

[41] Singular Perturbation Analysis for a Holling-Tanner Model with Additive Allee Effect
Zhu, Zirui
Liu, Xingbo
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (12):
[42] Bifurcation analysis on a diffusive Holling-Tanner predator-prey model
Ma, Zhan-Ping
Li, Wan-Tong
APPLIED MATHEMATICAL MODELLING, 2013, 37 (06) : 4371 - 4384
[43] Stochastic persistence and stationary distribution in a Holling-Tanner type prey-predator model
Mandal, Partha Sarathi
Banerjee, Malay
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (04) : 1216 - 1233
[44] BIFURCATION ANALYSIS AND CHAOS OF A MODIFIED HOLLING-TANNER MODEL WITH DISCRETE TIME
Xu, Qingkai
Zhang, Chunrui
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (06): : 3425 - 3449
[45] Deterministic and stochastic analysis of a ratio-dependent prey-predator system
Maiti, A.
Samanta, G. P.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2006, 37 (12) : 817 - 826
[46] Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System with Holling Type IV Functional Response
Fu, Jing
Jiang, Daqing
Shi, Ningzhong
Hayat, Tasawar
Abmad, Baslur
FILOMAT, 2018, 32 (19) : 6549 - 6562
[47] Global qualitative analysis of a ratio-dependent predator-prey system
Kuang, Y
Beretta, E
JOURNAL OF MATHEMATICAL BIOLOGY, 1998, 36 (04) : 389 - 406
[48] Qualitative analysis of a ratio-dependent predator-prey system with diffusion
Pang, PYH
Wang, MX
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2003, 133 : 919 - 942
[49] Qualitative Analysis of a ratio-dependent Chemostat Model with Holling-(n+1) Type Functional Response
Dong, Qinglai
Sun, Mingjuan
BIOTECHNOLOGY, CHEMICAL AND MATERIALS ENGINEERING II, PTS 1 AND 2, 2013, 641-642 : 947 - 950
[50] Dynamic complexity of Holling-Tanner predator-prey system with predator cannibalism
Zhao, Zhihong
Shen, Yuwei
MATHEMATICS AND COMPUTERS IN SIMULATION, 2025, 232 : 227 - 244

← 1 2 3 4 5 →