Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis

Abstract

A mathematical model of human T-cell lymphotropic virus type 1 in vivo with cell-to-cell infection and mitosis is formulated and studied. The basic reproductive number $R_0$ is derived. It is proved that the dynamics of the model can be determined completely by the magnitude of $R_0$. The infection-free equilibrium is globally asymptotically stable (unstable) if $(R_0>1)$. There exists a chronic infection equilibrium and it is globally asymptotically stable if $R_0>1$.