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

doi:10.1007/s11424-010-8467-0

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 journal › Article › peer-review

26 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 language	English (US)
Pages (from-to)	1221-1230
Number of pages	10
Journal	Journal of Systems Science and Complexity
Volume	23
Issue number	6
DOIs	https://doi.org/10.1007/s11424-010-8467-0
State	Published - Dec 27 2010

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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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.",

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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 - 2010/12/27

Y1 - 2010/12/27

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 - HBV infection

KW - clinical data simulation

KW - equilibrium point

KW - global stability

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