GLOBAL STABILITY FOR A DYNAMIC MODEL OF HEPATITIS B WITH ANTIVIRUS TREATMENT

Qian Huan; Peipei Ning; Wei Ding

doi:10.11948/2013004

2013 Volume 3 Issue 1

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Qian Huan, Peipei Ning, Wei Ding. GLOBAL STABILITY FOR A DYNAMIC MODEL OF HEPATITIS B WITH ANTIVIRUS TREATMENT[J]. Journal of Applied Analysis & Computation, 2013, 3(1): 37-50. doi: 10.11948/2013004

Citation:

Qian Huan, Peipei Ning, Wei Ding. GLOBAL STABILITY FOR A DYNAMIC MODEL OF HEPATITIS B WITH ANTIVIRUS TREATMENT[J]. Journal of Applied Analysis & Computation, 2013, 3(1): 37-50. doi: 10.11948/2013004

GLOBAL STABILITY FOR A DYNAMIC MODEL OF HEPATITIS B WITH ANTIVIRUS TREATMENT

Department of Mathematics, Shanghai Normal University, 200234, Shanghai, China

Abstract

Abstract

An epidemic model on the basis of therapy of chronic Hepatitis B with antivirus treatment was introduced in this paper. By applying a comparison theorem and analyzing the corresponding characteristic equations, we obtain sufficient conditions on the parameters for the global stability of the disease-free state. It's proved that if the basic reproduction number R₀<1, the disease-free equilibrium is globally asymptotically stable. If R₀>1, the disease-free equilibrium is unstable and the disease is uniformly permanent. Moreover, if R₀>1, sufficient conditions are obtained for the global stability of the endemic equilibrium.
- Global stability /
- comparison theorem /
- characteristic equations /
- basic reproduction number
MSC: 35Q;34D;92B

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