A mathematical model for the dynamics of HIV-1 during the typical course of infection

A. B. Gumel, P. N. Shivakumar, B. M. Sahai

Research output: Contribution to journalConference article

28 Scopus citations

Abstract

A mathematical model based upon critical factors for predicting the number of cell-free human immunodeficiency virus in the blood during typical course of infection is presented. The model exhibits two steady states, a trivial steady state and an endemically-infected steady state. A linearized stability analysis was carried out to determine the stability of these states.

Original languageEnglish (US)
Pages (from-to)1773-1783
Number of pages11
JournalNonlinear Analysis, Theory, Methods and Applications
Volume47
Issue number3
DOIs
StatePublished - Aug 1 2001
Externally publishedYes
Event3rd World Congress of Nonlinear Analysts - Catania, Sicily, Italy
Duration: Jul 19 2000Jul 26 2000

Keywords

  • CD4 T cells
  • Finite-difference
  • Replication
  • Stability

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A mathematical model for the dynamics of HIV-1 during the typical course of infection'. Together they form a unique fingerprint.

  • Cite this