A stochastic differential equation SIS epidemic model with regime switching

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