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

18 Citations (Scopus)

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 - 2010

Fingerprint

Viruses
DNA
Computer simulation

Keywords

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

ASJC Scopus subject areas

  • Information Systems
  • Computer Science (miscellaneous)

Cite this

Global stability of endemic equilibrium point of basic virus infection model with application to HBV infection. / Zheng, Yu; Min, Lequan; Ji, Yu; Su, Yongmei; Kuang, Yang.

In: Journal of Systems Science and Complexity, Vol. 23, No. 6, 2010, p. 1221-1230.

Research output: Contribution to journalArticle

@article{62abcbdc35f242d984cde6d170fd9a04,
title = "Global stability of endemic equilibrium point of basic virus infection model with application to HBV infection",
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.",
keywords = "Basic infection reproduction number, clinical data simulation, equilibrium point, global stability, HBV infection",
author = "Yu Zheng and Lequan Min and Yu Ji and Yongmei Su and Yang Kuang",
year = "2010",
doi = "10.1007/s11424-010-8467-0",
language = "English (US)",
volume = "23",
pages = "1221--1230",
journal = "Journal of Systems Science and Complexity",
issn = "1009-6124",
publisher = "Springer New York",
number = "6",

}

TY - JOUR

T1 - Global stability of endemic equilibrium point of basic virus infection model with application to HBV infection

AU - Zheng, Yu

AU - Min, Lequan

AU - Ji, Yu

AU - Su, Yongmei

AU - Kuang, Yang

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Basic infection reproduction number

KW - clinical data simulation

KW - equilibrium point

KW - global stability

KW - HBV infection

UR - http://www.scopus.com/inward/record.url?scp=78650383101&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650383101&partnerID=8YFLogxK

U2 - 10.1007/s11424-010-8467-0

DO - 10.1007/s11424-010-8467-0

M3 - Article

VL - 23

SP - 1221

EP - 1230

JO - Journal of Systems Science and Complexity

JF - Journal of Systems Science and Complexity

SN - 1009-6124

IS - 6

ER -