Dynamical behavior for a stochastic two-species competitive model

被引：3
作者：
Xu, Changjin [1 ]
Liao, Maoxin [2 ]
机构：
[1] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China
[2] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China
来源：
OPEN MATHEMATICS | 2017年 / 15卷
基金：
中国国家自然科学基金;
关键词：
Competitive model; Global stability; Stochastic perturbation; PREDATOR-PREY SYSTEM; DEANGELIS FUNCTIONAL-RESPONSE; ASYMPTOTIC-BEHAVIOR; STABILITY; DELAY;
D O I：
10.1515/math-2017-0105
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with a stochastic two-species competitive model. Some very verifiable criteria on the global stability of the positive equilibrium of the deterministic system are established. An example with its computer simulations is given to illustrate our main theoretical findings.
引用
收藏
页码：1258 / 1266
页数：9
相关论文
共 50 条
  • [1] Dynamical behavior of a stochastic two-species Monod competition chemostat model
    Sun, Shulin
    Sun, Yaru
    Zhang, Guang
    Liu, Xinzhi
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 298 : 153 - 170
  • [2] Dynamics in a two-species competitive model of plankton allelopathy with delays and feedback controls
    Xu, Changjin
    Zhang, Qiming
    Li, Peiluan
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2016, 89 (1-2): : 1 - 22
  • [3] Dynamical analysis on stochastic two-species models
    Wang, Guangbin
    Lv, Jingliang
    Zou, Xiaoling
    APPLICABLE ANALYSIS, 2024, 103 (10) : 1863 - 1881
  • [4] Permanence and extinction for a stochastic two-species competitive system
    Liu, Yizhong
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2019, 9 (04) : 324 - 334
  • [5] Competitive exclusion in a two-species chemotaxis model
    C. Stinner
    J. I. Tello
    M. Winkler
    Journal of Mathematical Biology, 2014, 68 : 1607 - 1626
  • [6] Competitive exclusion in a two-species chemotaxis model
    Stinner, C.
    Tello, J. I.
    Winkler, M.
    JOURNAL OF MATHEMATICAL BIOLOGY, 2014, 68 (07) : 1607 - 1626
  • [7] Optimal harvesting policy of a stochastic two-species competitive model with Levy noise in a polluted environment
    Zhao, Yu
    Yuan, Sanling
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 477 : 20 - 33
  • [8] Dynamical analysis of a two-species competitive system with state feedback impulsive control
    Xu, Jing
    Huang, Mingzhan
    Song, Xinyu
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2020, 13 (05)
  • [9] A free boundary problem for two-species competitive model in ecology
    Ling, Zhi
    Tang, Qiulin
    Lin, Zhigui
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) : 1775 - 1781
  • [10] Global existence and asymptotic behavior of a two-species competitive Keller-Segel system on RN
    Wang, Yizhuo
    Guo, Shangjiang
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
12345