Global analysis of HIV models

P. De Leenheer, Hal Smith

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Exploiting the fact that standard models of within-host viral infections of target cell populations by HIV of Perelson et al and Nowak and May give rise to competitive three dimensional dynamical systems, we provide a global analysis of their dynamics. If the basic reproductive number R0 <1, the virus is cleared and the disease dies out; if R0 > 1 then the virus persists in the host, solutions either approaching a chronic disease steady state or a periodic orbit. The latter can be ruled out in some cases but not in general. Also simple drug treatment schemes are investigated.

Original languageEnglish (US)
Title of host publicationEuropean Control Conference, ECC 2003
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2830-2835
Number of pages6
ISBN (Print)9783952417379
StatePublished - Apr 13 2003
Event2003 European Control Conference, ECC 2003 - Cambridge, United Kingdom
Duration: Sep 1 2003Sep 4 2003

Other

Other2003 European Control Conference, ECC 2003
CountryUnited Kingdom
CityCambridge
Period9/1/039/4/03

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Keywords

  • Drug therapy
  • Global stability
  • HIV models
  • Oscillations
  • Persistence

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

De Leenheer, P., & Smith, H. (2003). Global analysis of HIV models. In European Control Conference, ECC 2003 (pp. 2830-2835). [7086471] Institute of Electrical and Electronics Engineers Inc..