The threshold of a stochastic SIQS epidemic model

被引：0
|
作者：
Yanni Pang
Yuecai Han
Wenjin Li
机构：
[1] Jilin University,School of Mathematics
[2] Jilin University of Finance and Economics,School of Applied Mathematics
来源：
Advances in Difference Equations | / 2014卷
关键词：
stochastic SIQS epidemic model; extinction; persistence; threshold;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we discuss the dynamics of a stochastic SIQS epidemic model. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R0. When the noise is small, sufficient conditions for extinction exponentially and persistence in the mean are established. The results are illustrated by computer simulations.
引用
收藏
相关论文
共 50 条
  • [41] Threshold Dynamics and the Density Function of the Stochastic Coronavirus Epidemic Model
    Sun, Jianguo
    Gao, Miaomiao
    Jiang, Daqing
    FRACTAL AND FRACTIONAL, 2022, 6 (05)
  • [42] A threshold of a delayed stochastic epidemic model with Crowly-Martin functional response and vaccination
    El Fatini, Mohamed
    Sekkak, Idriss
    Laaribi, Aziz
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 520 : 151 - 160
  • [43] Dynamics of a multigroup SIQS epidemic model under regime switching
    Liu, Qun
    Jiang, Daqing
    Hayat, Tasawar
    Alsaedi, Ahmed
    Ahmad, Bashir
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2020, 38 (05) : 769 - 796
  • [44] Dynamical behavior of a stochastic SIQS model via isolation with regime-switching
    Wang, Feng
    Liu, Zaiming
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (02) : 2217 - 2237
  • [45] The threshold dynamics in a stochastic SIS epidemic model with vaccination and nonlinear incidence under regime switching
    Hu, Junna
    Teng, Zhidong
    Li, Zhiming
    Wen, Buyu
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 529
  • [46] The threshold of a stochastic SIRS epidemic model with general incidence rate under regime-switching
    Kuang, Daipeng
    Yin, Qian
    Li, Jianli
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (17): : 13624 - 13647
  • [47] Threshold behaviour of a stochastic epidemic model with two-dimensional noises
    El Fatini, M.
    Taki, R.
    Tridane, A.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 524 : 776 - 786
  • [48] The extinction and persistence of the stochastic SIS epidemic model with vaccination
    Zhao, Yanan
    Jiang, Daqing
    O'Regan, Donal
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (20) : 4916 - 4927
  • [49] The global dynamics for a stochastic SIS epidemic model with isolation
    Chen, Yiliang
    Wen, Buyu
    Teng, Zhidong
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 : 1604 - 1624
  • [50] The extinction and persistence of the stochastic hepatitis B epidemic model
    Khan, Tahir
    Khan, Amir
    Zaman, Gul
    CHAOS SOLITONS & FRACTALS, 2018, 108 : 123 - 128
12345