A threshold of a delayed stochastic epidemic model with Crowly-Martin functional response and vaccination

摘要

In this paper, we study a delayed stochastic SIR epidemic model with Crowly-Martin functional response and vaccination. First we prove the existence and the uniqueness of the positive solution. Therefore, we establish a stochastic threshold R-s as a sufficient condition for the extinction and persistence in mean of the stochastic epidemic system. Finally, numerical simulations are presented to support our theoretical results. (C) 2019 Elsevier B.V. All rights reserved.