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- W3035001471 abstract "Abstract In this paper, we propose and analyze a stochastic SIVS model with saturated incidence and Lévy jumps. We first prove the existence of a global positive solution of the model. Then, with the help of semimartingale convergence theorem, we obtain a stochastic threshold of the model that completely determines the extinction and persistence of the epidemic. At last, we further study the threshold dynamics of a stochastic SIRS model with saturated or bilinear incidence by a similar method and carry out some numerical simulations to demonstrate our theoretical results. Comparing with the method given by Zhou and Zhang (Physica A 446:204–216, 2016), we find that the method used in this paper is simple and effective." @default.
- W3035001471 created "2020-06-19" @default.
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- W3035001471 date "2020-06-09" @default.
- W3035001471 modified "2023-10-12" @default.
- W3035001471 title "Threshold dynamics of a stochastic SIVS model with saturated incidence and Lévy jumps" @default.
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- W3035001471 doi "https://doi.org/10.1186/s13662-020-02723-9" @default.
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