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
收藏
页码：429 / 440
页数：12
相关论文
共 50 条
  • [31] Qualitative analysis of a Holling-Tanner predator-prey model with mutual interference
    Liu, Jia
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) : 5283 - 5289
  • [32] Stochastic dynamics for the solutions of a modified Holling-Tanner model with random perturbation
    Liu, Zhenjie
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2014, 25 (11)
  • [33] The stability and bifurcation analysis of a discrete Holling-Tanner model
    Hui Cao
    Zongmin Yue
    Yicang Zhou
    Advances in Difference Equations, 2013
  • [34] The stability and bifurcation analysis of a discrete Holling-Tanner model
    Cao, Hui
    Yue, Zongmin
    Zhou, Yicang
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [35] QUALITATIVE ANALYSIS OF STOCHASTIC RATIO-DEPENDENT PREDATOR-PREY SYSTEMS
    Ji, Chunyan
    Jiang, Daqing
    Zhao, Yanan
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (02): : 475 - 500
  • [36] Analysis of modified Holling-Tanner model with strong Allee effect
    Huang, Kunlun
    Jia, Xintian
    Li, Cuiping
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (08) : 15524 - 15543
  • [37] Global qualitative analysis of a ratio-dependent predator–prey system
    Yang Kuang
    Edoardo Beretta
    Journal of Mathematical Biology, 1998, 36 : 389 - 406
  • [38] Periodic solutions for a stochastic non-autonomous Holling-Tanner predator-prey system with impulses
    Zuo, Wenjie
    Jiang, Daqing
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 22 : 191 - 201
  • [39] Dynamics of a stochastic ratio-dependent Leslie system
    Fan, Caifeng
    Xiong, Zuoliang
    Wu, Lifeng
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 4660 - 4665
  • [40] Stability and bifurcation analysis of a Holling-Tanner model with discontinuous harvesting action
    Cristiano, Rony
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2025, 145
12345