A singularly perturbed HIV model with treatment and antigenic variation

Nara Bobko, Jorge P. Zubelli

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.

Original languageBritish English
Pages (from-to)1-21
Number of pages21
JournalMathematical Biosciences and Engineering
Volume12
Issue number1
DOIs
StatePublished - 1 Feb 2015

Keywords

  • Global stability
  • HIV
  • Immune response
  • Lyapunov functions
  • Multiscale analysis
  • Mutation

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