Stationary distribution of stochastic SIRS epidemic model with standard incidence

Yanan Zhao, Yuguo Lin, Daqing Jiang, Xuerong Mao, Yong Li

Research output: Contribution to journalArticle

5 Citations (Scopus)

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.
LanguageEnglish
Pages2363-2378
Number of pages16
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume21
Issue number7
Early online date31 Aug 2016
DOIs
Publication statusPublished - 30 Sep 2016

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Stochastic systems
Epidemic Model
Stationary Distribution
Incidence
Markov Semigroups
Computer simulation
Stochastic Systems
Converge
Numerical Simulation
Invariant
Standards

Keywords

  • stationary distribution
  • diffusion process
  • Markov semigroups
  • asymptotic stability
  • epidemic model
  • SIRS

Cite this

Zhao, Yanan ; Lin, Yuguo ; Jiang, Daqing ; Mao, Xuerong ; Li, Yong. / Stationary distribution of stochastic SIRS epidemic model with standard incidence. In: Discrete and Continuous Dynamical Systems - Series B. 2016 ; Vol. 21, No. 7. pp. 2363-2378.
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Stationary distribution of stochastic SIRS epidemic model with standard incidence. / Zhao, Yanan; Lin, Yuguo; Jiang, Daqing; Mao, Xuerong; Li, Yong.

In: Discrete and Continuous Dynamical Systems - Series B, Vol. 21, No. 7, 30.09.2016, p. 2363-2378.

Research output: Contribution to journalArticle

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