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Kirschner, D.E. and Perelson, A.S. (1995) A Model for the Immune System Response to HIV: AZT Treatment Studies. In: Arino, O., Axelrod, D., Kimmel, M. and Langlais, M., Eds., Mathematical Population Dynamics: Analysis of Heterogeneity and Theory of Epidemics, Wuerz Publishing, Winnipeg, 295.

has been cited by the following article:

• 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.