A Study on a Stochastic SIRS Epidemic Model with Nonlinear Incidence
In this paper,we study a stochastic SIRS epidemic model with nonlinear inci-dence.First,the existence and uniqueness of the global positive solution of the model are proved.Then,we discuss the asymptotic behavior of the stochastic model near the disease-free equilibrium and the endemic equilibrium of the deterministic model,analyzing the effect of stochastic disturbances on the spread of infectious diseases.The results show that the strength of disturbance intensity affects the disease outbreak under certain conditions.
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