Stochastic Delay Population Dynamics under Regime Switching: Permanence and Asymptotic Estimation

被引:2
|
作者
Wu, Zheng [1 ]
Huang, Hao [1 ]
Wang, Lianglong [1 ]
机构
[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China
关键词
NONAUTONOMOUS LOGISTIC EQUATION; LOTKA-VOLTERRA MODEL; RANDOM PERTURBATION; PERSISTENCE; ENVIRONMENT; EXTINCTION; STABILITY; NOISE;
D O I
10.1155/2013/129072
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with a delay Lotka-Volterramodel under regime switching diffusion in random environment. Permanence and asymptotic estimations of solutions are investigated by virtue of V-function technique, M-matrix method, and Chebyshev's inequality. Finally, an example is given to illustrate the main results.
引用
收藏
页数:11
相关论文
共 50 条
  • [21] Stationary distribution of a stochastic epidemic model with distributed delay under regime switching
    Shengshuang Chen
    Yingxin Guo
    Chuan Zhang
    [J]. Journal of Applied Mathematics and Computing, 2024, 70 : 789 - 808
  • [22] Stationary distribution of a stochastic epidemic model with distributed delay under regime switching
    Chen, Shengshuang
    Guo, Yingxin
    Zhang, Chuan
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (01) : 789 - 808
  • [23] A stochastic delay Gilpin-Ayala competition system under regime switching
    Liu, Yiliang
    Liu, Qun
    [J]. FILOMAT, 2013, 27 (06) : 955 - 964
  • [24] The threshold between permanence and extinction for a stochastic Logistic model with regime switching
    Liu M.
    Wang K.
    [J]. Journal of Applied Mathematics and Computing, 2013, 43 (1-2) : 329 - 349
  • [25] DYNAMICS OF A STOCHASTIC HIV/AIDS MODEL WITH TREATMENT UNDER REGIME SWITCHING
    Gao, Miaomiao
    Jiang, Daqing
    Hayat, Tasawar
    Alsaedi, Ahmed
    Ahmad, Bashir
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (06): : 3177 - 3211
  • [26] Permanence conditions for models of population dynamics with switches and delay
    Aleksandrov, A. Yu
    [J]. VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA, 2020, 16 (02): : 88 - 99
  • [27] Analysis of a stochastic delay competition system driven by Levy noise under regime switching
    Li, Shiying
    Zhang, Shuwen
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (48) : 1 - 34
  • [28] Stability in distribution of stochastic Lotka-Volterra delay system under regime switching
    Zang, Yanchao
    Hou, Pingjun
    Tian, Yuzhu
    [J]. STOCHASTICS AND DYNAMICS, 2018, 18 (05)
  • [29] Persistence and extinction of a stochastic delay predator-prey model under regime switching
    Zhen Hai Liu
    Qun Liu
    [J]. Applications of Mathematics, 2014, 59 : 331 - 343
  • [30] Persistence and extinction of a stochastic delay predator-prey model under regime switching
    Liu, Zhen Hai
    Liu, Qun
    [J]. APPLICATIONS OF MATHEMATICS, 2014, 59 (03) : 331 - 343