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

Huan Qian | Zendy; Peipei Ning | Zendy; Wei Ding | Zendy

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

Author(s) -

Huan Qian,

Peipei Ning,

Wei Ding

Publication year - 2013

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2013004

Subject(s) - basic reproduction number , stability (learning theory) , mathematics , stability theory , mathematical economics , computer science , physics , medicine , population , nonlinear system , quantum mechanics , machine learning , environmental health

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 \(R_0 1\), the disease-free equilibrium is unstable and the disease is uniformly permanent. Moreover, if \(R_0 > 1\), sufficient conditions are obtained for the global stability of the endemic equilibrium.

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