A generalized stochastic SIR epidemic model with vaccination rules

A generalized stochastic SIR epidemic model with vaccination rules

Z Ma, T Qi, X Li – International Journal of Nonlinear Sciences and …, 2022

In this paper, a generalized stochastic SIR epidemic model with vaccination rules is presented and the hreshold behavior of the proposed epidemic model is investigated. Firstly, the stability of the equilibrium of the deterministic system is considered and the corresponding conditions are obtained. Secondly, the threshold of a stochastic SIR system for the extinction and the permanence in mean of epidemic disease are investigated. The results show that a larger stochastic …