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
  • [1] The threshold of a stochastic SIQS epidemic model
    Pang, Yanni
    Han, Yuecai
    Li, Wenjin
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [2] The threshold of a stochastic SIQS epidemic model
    Zhang, Xiao-Bing
    Huo, Hai-Feng
    Xiang, Hong
    Shi, Qihong
    Li, Dungang
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 482 : 362 - 374
  • [3] THRESHOLD OF A STOCHASTIC SIQS EPIDEMIC MODEL WITH ISOLATION
    Nguyen Thanh Dieu
    Vu Hai Sam
    Nguyen Huu Du
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, : 5009 - 5028
  • [4] The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size
    Zhang, Xiao-Bing
    Zhang, Xiao-Hong
    APPLIED MATHEMATICAL MODELLING, 2021, 91 : 749 - 767
  • [5] The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size
    Zhang, Xiao-Bing
    Zhang, Xiao-Hong
    Applied Mathematical Modelling, 2021, 91 : 749 - 767
  • [6] Asymptotic behavior and threshold of a stochastic SIQS epidemic model with vertical transmission and Beddington–DeAngelis incidence
    Yang Chen
    Wencai Zhao
    Advances in Difference Equations, 2020
  • [7] Asymptotic behavior and threshold of a stochastic SIQS epidemic model with vertical transmission and Beddington-DeAngelis incidence
    Chen, Yang
    Zhao, Wencai
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [8] Global threshold dynamics of SIQS epidemic model in time fluctuating environment
    Li, Shang
    Fan, Meng
    Rong, Xinmiao
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2017, 10 (04)
  • [9] Dynamic behavior of a stochastic SIQS epidemic model with Levy jumps
    Zhang, Xiao-Bing
    Shi, Qihong
    Ma, Shuang-Hong
    Huo, Hai-Feng
    Li, Dungang
    NONLINEAR DYNAMICS, 2018, 93 (03) : 1481 - 1493
  • [10] Dynamic behavior of a stochastic SIQS epidemic model with Lévy jumps
    Xiao-Bing Zhang
    Qihong Shi
    Shuang-Hong Ma
    Hai-Feng Huo
    Dungang Li
    Nonlinear Dynamics, 2018, 93 : 1481 - 1493
12345