A stochastic differential equation SIS epidemic model with regime switching

Siyang Cai, Yongmei Cai, Xuerong Mao

Research output: Journal PublicationArticlepeer-review

12 Citations (Scopus)


In this paper, we combined the previous model in [2] with Gray et al.'s work in 2012 [8] to add telegraph noise by using Markovian switching to generate a stochastic SIS epidemic model with regime switching. Similarly, threshold value for extinction and persistence are then given and proved, followed by explanation on the stationary distribution, where the M-matrix theory elaborated in [20] is fully applied. Computer simulations are clearly illustrated with different sets of parameters, which support our theoretical results. Compared to our previous work in 2019 [2, 3], our threshold value are given based on the overall behaviour of the solution but not separately specified in every state of the Markov chain.

Original languageEnglish
Pages (from-to)4887-4905
Number of pages19
JournalDiscrete and Continuous Dynamical Systems - Series B
Issue number9
Publication statusPublished - Sept 2021


  • Extinction
  • M-matrix
  • Markovian switching
  • SIS model
  • Stationary distribution

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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