Stationary distribution of stochastic SIRS epidemic model with standard incidence

Zhao, Yanan and Lin, Yuguo and Jiang, Daqing and Mao, Xuerong and Li, Yong (2016) Stationary distribution of stochastic SIRS epidemic model with standard incidence. Discrete and Continuous Dynamical Systems - Series B, 21 (7). pp. 2363-2378. ISSN 1531-3492 (https://doi.org/10.3934/dcdsb.2016051)

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Abstract

We study stochastic versions of a deterministic SIRS (Susceptible, Infective, Recovered, Susceptible) epidemic model with standard incidence. We study the existence of a stationary distribution of stochastic system by the theory of integral Markov semigroup. We prove the distribution densities of the solutions can converge to an invariant density in L1. This shows the system is ergodic. The presented results are demonstrated by numerical simulations.

ORCID iDs

Zhao, Yanan, Lin, Yuguo, Jiang, Daqing, Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864 and Li, Yong;
  • Item type:Article
    ID code:57603
    Dates:
    Date
    Event
    30 September 2016
    Published
    31 August 2016
    Published Online
    1 August 2016
    Accepted
    Notes:This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series B following peer review. The definitive publisher-authenticated version Zhao, Y., Lin, Y., Jiang, D., Mao, X., & Li, Y. (2016). Stationary distribution of stochastic SIRS epidemic model with standard incidence. Discrete and Continuous Dynamical Systems - Series B, 21(7). is available online at: http://dx.doi.org/10.3934/dcdsb.2016051
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:31 Aug 2016 12:00
    Last modified:11 Nov 2024 11:30
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/57603
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