Virus dynamics: A global analysis

Patrick De Leenheer, Hal Smith

Research output: Contribution to journalArticle

284 Scopus citations

Abstract

Exploiting the fact that standard models of within-host viral infections of target cell populations by HIV, developed by Perelson and Nelson [SIAM Rev., 41 (1999), pp. 3-44] and Nowak and May [Virus Dynamics, Oxford University Press, New York, 2000], give rise to competitive three dimensional dynamical systems, we provide a global analysis of their dynamics. If the basic reproduction number R0 < 1, the virus is cleared and the disease dies out; if R0 > 1, then the virus persists in the host, solutions approaching either a chronic disease steady state or a periodic orbit. The latter can be ruled out in some cases but not in general.

Original languageEnglish (US)
Pages (from-to)1313-1327
Number of pages15
JournalSIAM Journal on Applied Mathematics
Volume63
Issue number4
DOIs
StatePublished - Mar 1 2003

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Keywords

  • Global stability
  • HIV
  • Oscillations
  • Virus dynamics

ASJC Scopus subject areas

  • Applied Mathematics

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