TITLE:
Mathematical Model of HIV-1 Dynamics with T Cell Activation
AUTHORS:
Obias Mulenga Chimbola
KEYWORDS:
HIV-1, T Cell, Lyapunov Function, Global Stability
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.7,
July
22,
2020
ABSTRACT: A deterministic in-host model of HIV-1 that incorporates naive and activated T
cells is being investigated. The model represents the dynamics of five subsets
of T cells and one class of HIV-1. The virus free and the infection persistent
equilibria are found and their stability analysed. With the aid of suitable
Lyapunov functionals, we have shown that the model equilibria are globally asymptotically
stable under special conditions. The numerical simulation is performed to
illustrate both the short term and long term dynamics of HIV-1 infection. The
results of simulation are in agreement with published data with regard to CD4+
T cell concentration and the viral load.