Mathematical analysis of a basic virus infection model with application to HBV infection

Lequan Min, Yongmei Su, Yang Kuang

Research output: Contribution to journalArticlepeer-review

104 Scopus citations

Abstract

The basic virus infection model (BVIM) is widely used in the studies of hepatitis B virus (HBV) infection dynamics. This model assumes that the infection process follows a mass action law. The basic infection reproductive number of the model is proportional to the number of all cells of the host's organa prior to the infection. This suggests that the BVIM may not be a reasonable model for describing the HBV virus infection since it implies that an individual with a smaller liver may be more resistent to virus infections than an individual with a larger one. In this paper, we formulate a standard incidence based model that amends the BVIM (we shall call it ABVIM below) which will correct this mass action induced model artifact. If its basic infection reproductive number is less than 1, then every positive solution will converge to the infection-free steady state. We also present an application of ABVIM to some clinic HBV infection data.

Original languageEnglish (US)
Pages (from-to)1573-1585
Number of pages13
JournalRocky Mountain Journal of Mathematics
Volume38
Issue number5
DOIs
StatePublished - 2008

Keywords

  • Basic infection reproduction number
  • Basic model of virus infection
  • Basin of global attraction
  • Equilibrium point

ASJC Scopus subject areas

  • Mathematics(all)

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