Global dynamics of an SI epidemic model with nonlinear incidence rate, feedback controls and time delays

Abstract

In this paper, we consider a class of SI epidemic model with nonlinear incidence, feedback controls and four different discrete time delays. By skillfully constructing appropriate Lyapunov functionals, and combining Lyapunov-LaSalle invariance principle and Barbalat's lemma, the global dynamics of the model are established. Our results extend and improve related works in the existing literatures.

Keywords

• si epidemic model
• feedback control
• time delay
• lyapunov functional
• global stability