The threshold dynamics in a stochastic SIS epidemic model with vaccination and nonlinear incidence under regime switching

Abstract

In this paper, a stochastic SIS epidemic model with vaccination and nonlinear incidence under regime switching is investigated. This model concerned about white noise and color noise. A new technique to deal with the nonlinear incidence and vaccination for the stochastic epidemic models is introduced. The sufficient conditions on the extinction and the permanence in the mean with probability one are established by constructing new Lyapunov functions with regime switching.