Stochastic regime switching SIS epidemic model with vaccination driven by Lévy noise

Abstract

Abstract We formulate a stochastic SIS epidemic model with vaccination by introducing a Lévy noise and regime switching into the epidemic model. First, we prove that the stochastic model admits a unique global positive solution. Moreover, we study the asymptotic behavior of the stochastic regime switching SIS model with vaccination driven by Lévy noise.

Keywords

• stochastic SIS epidemic model
• vaccination
• Lévy noise
• Markov switching
• global positive solution
• asymptotic behavior