Classification of asymptotic behavior in a stochastic SIS epidemic model with vaccination

摘要

In this paper, we consider a stochastic SIS epidemic model with vaccination and degenerate diffusion. We prove that such a stochastic system has a complete threshold R-s. That is, when R-s > 1 stochastic system is ergodic, which means the disease persists; when R-s < 1 the disease I-t becomes extinct exponentially. (C) 2019 Elsevier B.V. All rights reserved.