Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function

Yu Yang, Shigui Ruan, Dongmei Xiao

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

In this paper, we study an age-structured virus dynamics model with Beddington-DeAngelis infection function. An explicit formula for the basic reproductive number R<inf>0</inf> of the model is obtained. We investigate the global behavior of the model in terms of R<inf>0</inf>: if R<inf>0</inf> ≤ 1, then the infectionfree equilibrium is globally asymptotically stable, whereas if R<inf>0</inf> > 1, then the infection equilibrium is globally asymptotically stable. Finally, some special cases, which reduce to some known HIV infection models studied by other researchers, are considered.

Original languageEnglish (US)
Pages (from-to)859-877
Number of pages19
JournalMathematical Biosciences and Engineering
Volume12
Issue number4
DOIs
StatePublished - Aug 1 2015

Keywords

  • Age structure
  • Global stability
  • Infection equilibrium
  • Liapunov function
  • Virus dynamics model

ASJC Scopus subject areas

  • Applied Mathematics
  • Modeling and Simulation
  • Computational Mathematics
  • Agricultural and Biological Sciences(all)
  • Medicine(all)

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