Abstract
In this paper, we combined the previous model in [1] with Gray et al.’s work in 2012 [2] 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 [3] 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 [1, 4], 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 language | English |
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Journal | Discrete and Continuous Dynamical Systems - Series B |
Publication status | Accepted/In press - 12 Sep 2020 |
Keywords
- SIS model
- independent Brownian motions
- Markovian switching
- extinction
- persistence
- stationary distribution