Global stability of endemic equilibrium point of basic virus infection model with application to HBV infection

Yu Zheng, Lequan Min, Yu Ji, Yongmei Su, Yang Kuang

Research output: Contribution to journalArticle

22 Scopus citations

Abstract

In this paper, the authors first show that if R 0 ≤ 1, the infection free steady state is globally attractive by using approaches different from those given by Min, et al.(2008). Then the authors prove that if R 0 > 1, the endemic steady state is also globally attractive. Finally, based on a patient's clinical HBV DNA data of anti-HBV infection with drug lamivudine, the authors establish an ABVIM. The numerical simulations of the ABVIM are good in agreement with the clinical data.

Original languageEnglish (US)
Pages (from-to)1221-1230
Number of pages10
JournalJournal of Systems Science and Complexity
Volume23
Issue number6
DOIs
StatePublished - Dec 27 2010

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Keywords

  • Basic infection reproduction number
  • HBV infection
  • clinical data simulation
  • equilibrium point
  • global stability

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Information Systems

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