Dynamics analysis of a stochastic regime-switching transmission model with governmental policy

Abstract

In this paper, we propose and investigate a stochastic SEQIR epidemic model with Markovian regime-switching. Governmental policies and their implementation efficiency are incorporated by a generalized incidence function of the susceptible class. Using the Lyapunov method, we illustrate the existence and uniqueness of the globally positive solution to the stochastic model. Furthermore, we also analyze the dynamical behaviors of the disease, and derive sufficient conditions for its extinction and persistence in mean. Finally, numerical simulations are presented to verify the theoretical findings.