International Journal of Differential Equations (Jan 2014)

A Discrete Model for HIV Infection with Distributed Delay

  • Brahim EL Boukari,
  • Khalid Hattaf,
  • Noura Yousfi

DOI
https://doi.org/10.1155/2014/138094
Journal volume & issue
Vol. 2014

Abstract

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We give a consistent discretization of a continuous model of HIV infection, with distributed time delays to express the lag between the times when the virus enters a cell and when the cell becomes infected. The global stability of the steady states of the model is determined and numerical simulations are presented to illustrate our theoretical results.