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.

中文翻译：

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具有政权切换的随机微分方程SIS流行病模型。

在本文中，我们在[2个]和Gray等人。2012年的工作[8通过使用马尔可夫切换来生成具有状态切换的随机SIS流行病模型，从而增加电报噪声。类似地，随后给出并证明了灭绝和持久性的阈值，然后解释了平稳分布，其中[M]-矩阵理论在[20]被完全应用。用不同的参数集清楚地说明了计算机仿真，这支持了我们的理论结果。与我们之前在2019年所做的工作相比[2个， 3]，我们的阈值是根据解决方案的整体行为给出的，但并未在马尔可夫链的每个状态中单独指定。