Bobko Nara, Zubelli Jorge P
Instituto Nacional de Matematica Pura e Aplicada, Rio do Janeiro, RJ 22460-320, Brazil.
Math Biosci Eng. 2015 Feb;12(1):1-21. doi: 10.3934/mbe.2015.12.1.
We study the long term dynamics and the multiscale aspects of a within-host HIV model that takes into account both mutation and treatment with enzyme inhibitors. This model generalizes a number of other models that have been extensively used to describe the HIV dynamics. Since the free virus dynamics occur on a much faster time-scale than cell dynamics, the model has two intrinsic time scales and should be viewed as a singularly perturbed system. Using Tikhonov's theorem we prove that the model can be approximated by a lower dimensional nonlinear model. Furthermore, we show that this reduced system is globally asymptotically stable by using Lyapunov's stability theory.
