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- W2938797054 abstract "Abstract In this paper, we study a multigroup SIR epidemic model in a stochastic environment. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model. Then we establish sufficient conditions for extinction of the diseases. The results reveal that the smaller white noise can ensure the persistence of the diseases while the larger white noise can lead to the extinction of the diseases. Finally, some examples and numerical simulations are provided to illustrate the theoretical results." @default.
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- W2938797054 date "2019-07-01" @default.
- W2938797054 modified "2023-09-29" @default.
- W2938797054 title "Dynamical behavior of a stochastic multigroup SIR epidemic model" @default.
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- W2938797054 doi "https://doi.org/10.1016/j.physa.2019.04.211" @default.
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