Stochastic fluctuations of the transmission rate in the susceptible-infected-susceptible epidemic model

被引：22
|
作者：
Mendez, Vicenc [1 ]
Campos, Daniel [1 ]
Horsthemke, Werner [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Fis, Grp Fis Estadist, Bellaterra 08193, Barcelona, Spain
[2] So Methodist Univ, Dept Chem, Dallas, TX 75275 USA
来源：
PHYSICAL REVIEW E | 2012年 / 86卷 / 01期
关键词：
EQUATION; DYNAMICS;
D O I：
10.1103/PhysRevE.86.011919
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We analyze the dynamics of the susceptible-infected-susceptible epidemic model when the transmission rate displays Gaussian white noise fluctuations around its mean value. We obtain analytic expressions for the final size distribution of infectives and the mean infected number of individuals. The model displays a variety of noise-induced transitions as a function of the basic reproductive rate and the noise intensity. We derive a threshold criterion for epidemic invasion in the presence of external noise and determine the mean epidemic duration and the mean epidemic extinction time.
引用
收藏
页数：8
相关论文
共 50 条
  • [31] Coordination of a Dual-Channel Pharmaceutical Supply Chain Based on the Susceptible-Infected-Susceptible Epidemic Model
    Hou, Yanhong
    Wang, Fan
    Chen, Zhitong
    Shi, Victor
    INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH, 2020, 17 (09)
  • [32] Second-order mean-field susceptible-infected-susceptible epidemic threshold
    Cator, E.
    Van Mieghem, P.
    PHYSICAL REVIEW E, 2012, 85 (05):
  • [33] Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction
    Wierman, JC
    Marchette, DJ
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2004, 45 (01) : 3 - 23
  • [34] Autocorrelation of the susceptible-infected-susceptible process on networks
    Liu, Qiang
    Van Mieghem, Piet
    PHYSICAL REVIEW E, 2018, 97 (06)
  • [35] Long-term dynamics of a q-deformed discrete susceptible-infected-susceptible epidemic model with delay
    Salman, Sanaa Moussa
    PRAMANA-JOURNAL OF PHYSICS, 2019, 92 (05):
  • [36] Susceptible-Infected-Susceptible Dynamics with Mitigation in Connection of Infected Population
    Kim, K. M.
    Dias, C.
    Hase, M. O.
    BRAZILIAN JOURNAL OF PHYSICS, 2023, 53 (04)
  • [37] Solving the Dynamic Correlation Problem of the Susceptible-Infected-Susceptible Model on Networks
    Cai, Chao-Ran
    Wu, Zhi-Xi
    Chen, Michael Z. Q.
    Holme, Petter
    Guan, Jian-Yue
    PHYSICAL REVIEW LETTERS, 2016, 116 (25)
  • [38] Second-order mean-field susceptible-infected-susceptible epidemic threshold
    Cator, E.
    Van Mieghem, P.
    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2012, 85 (05):
  • [39] Efficient simulations of epidemic models with tensor networks: Application to the one-dimensional susceptible-infected-susceptible model
    Merbis W.
    De Mulatier C.
    Corboz P.
    Physical Review E, 2023, 108 (02)
  • [40] Susceptible-Infected-Susceptible Dynamics with Mitigation in Connection of Infected Population
    K. M. Kim
    C. Dias
    M. O. Hase
    Brazilian Journal of Physics, 2023, 53
12345