title: A singularly perturbed HIV model with treatment and antigenic variation.
abstract: 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.
authors: Instituto Nacional de Matematica Pura e Aplicada, Rio do Janeiro, RJ 22460-320, Brazil. narab@impa.br.
authors: Nara
authors: N
authors: Bobko
authors: Jorge P
authors: JP
authors: Zubelli
mesh_terms: D000465:Algorithms; D000940:Antigenic Variation; D003198:Computer Simulation; D006678:HIV / Q000276:immunology; D015658:HIV Infections / Q000453:epidemiology* / Q000276:immunology* / Q000635:transmission; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical; D013997:Time Factors