Analysis of an In-host Model for HIV Dynamics with Saturation Effect and Discrete Time Delay

P. Das, D. Mukherjee, A. Sen, Z. Mukandavire, C. Chiyaka

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We present an in-host HIV/AIDS model with saturation effect and a discrete time delay. It is shown that infection is endemic when R 0 > 1 but dies out when R 0 < 1. The switching phenomenon for the stable equilibria is observed when a discrete time delay is incorporated. The parameters that can control the disease transmission are also discussed. Numerical simulations are carried out to verify and support the analytical results and illustrate possible behavior scenarios of the model

Original languageEnglish
Pages (from-to)125-136
Number of pages12
JournalNonlinear Dynamics and Systems Theory
Volume11
Issue number2
Publication statusPublished - 20 Jun 2011
Externally publishedYes

Keywords

  • Delay
  • HIV/AIDS
  • Stability
  • Switching

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematical Physics

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