Special Session 51: 

Dynamics of anHIV-1 virus model with both virus-to-cell and cell-to-cell transmissions.

Yanyu Xiao
u cincinati
USA
Co-Author(s):    
Abstract:
In this paper, we incorporate both virus-to-cell and cell-to-cell transmissions into an HIV-1 virus model with nonlinear general incidence rate, intracellular delay, and cytotoxic T lymphocyte (CTL) immune responses. By Lyapunov functionalsand LaSalle invariance principle, it is verified that global threshold dynamics of three equilibria, infection-free, CTL-inactivated and CTL-activated, can be explicitly described by the basic reproduction numbers.