Global dynamics for a delayed hepatitis C virus infection model

Abstract

In this paper, we present a delay Hepatitis C virus infection model with Beddington-DeAngelis functional response. We first introduce five reproduction numbers, and then show that the system has five possible equilibria depended on the reproductive numbers. By constructing suitable Lyapunov functionals, the global dynamics for the five equilibria of the model is completely determined by the five reproductive numbers.

Keywords

• Delay virus model
• global stability
• Lyapunov functional
• Beddington-DeAngelis functional response
• LaSalle invariance principle