An age-structured model for the transmission dynamics of hepatitis B

Lan Zou, Shigui Ruan, Weinian Zhang

Research output: Contribution to journalArticle

33 Scopus citations

Abstract

Hepatitis B virus (HBV) infection is endemic in many parts of the world. One of the characteristics of HBV transmission is the age structure of the host population. In this paper, we propose an age-structured model for the transmission dynamics of HBV. The host population is stratified by age and is divided into six subclasses: susceptible, latently infected, acutely infectious, carrier, recovered, and vaccinated individuals. By determining the basic reproduction number, we study the existence and stability of the disease-free and endemic steady state solutions of the model. Numerical simulations are performed to find optimal strategies for controlling the transmission of HBV.

Original languageEnglish (US)
Pages (from-to)3121-3139
Number of pages19
JournalSIAM Journal on Applied Mathematics
Volume70
Issue number8
DOIs
StatePublished - Dec 1 2010

Keywords

  • Age structure
  • Basic reproduction number
  • HBV
  • Stability
  • Steady state

ASJC Scopus subject areas

  • Applied Mathematics

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