Global Stability of Within-Host Virus Dynamics Models with Multitarget Cells

Abstract

In this paper, we study the stability analysis of two within-host virus dynamics models with antibody immune response. We assume that the virus infects n classes of target cells. The second model considers two types of infected cells: (i) latently infected cells; and (ii) actively infected cells that produce the virus particles. For each model, we derive a biological threshold number R0. Using the method of Lyapunov function, we establish the global stability of the steady states of the models. The theoretical results are confirmed by numerical simulations.

Keywords

• global stability
• virus infection
• target cells
• latency
• Lyapunov function