A stochastic differential equation SIS epidemic model with regime switching

Siyang Cai, Yongmei Cai, Xuerong Mao

Research output: Journal PublicationArticlepeer-review

1 Citation (Scopus)

Abstract

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
Volume26
Issue number9
DOIs
Publication statusPublished - Sep 2021

Keywords

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

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'A stochastic differential equation SIS epidemic model with regime switching'. Together they form a unique fingerprint.

Cite this