Levy noise impact on a stochastic delayed epidemic model with Crowly-Martin incidence and crowding effect

摘要

In this paper, we consider the dynamical behavior of a delayed stochastic epidemic model SIR with Levy noise. First, we prove the existence and the uniqueness of the positive solution. Then, we establish a stochastic threshold as a sufficient condition for the extinction and persistence in mean of the disease. Finally, numerical simulations are presented to support our theoretical results. (C) 2019 Elsevier B.V. All rights reserved.