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- W2799693713 abstract "In this paper, we propose a new nonlinear stochastic SIRS epidemic model with standard incidence rate and saturated treatment function. The main purpose of this paper is to investigate the threshold dynamics of the nonlinear stochastic SIRS epidemic model by making use of stochastic inequality techniques. By using Lyapunov methods and Itô’s formula, we first prove the existence and uniqueness of a global positive solution for the corresponding limiting system. Furthermore, we obtain sufficient conditions for the extinction and persistence in mean of the nonlinear stochastic SIRS epidemic model by using the techniques of a series of stochastic inequalities. Finally, we provide some numerical simulations to illustrate the performance of our theoretical findings." @default.
- W2799693713 created "2018-05-17" @default.
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- W2799693713 date "2018-02-05" @default.
- W2799693713 modified "2023-09-25" @default.
- W2799693713 title "Application of stochastic inequalities to global analysis of a nonlinear stochastic SIRS epidemic model with saturated treatment function" @default.
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- W2799693713 doi "https://doi.org/10.1186/s13662-018-1508-z" @default.
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