| Volume 3, Number 1, 2013, Pages 37-50 DOI：10.11948/2013004 |
| Global Stability for a Dynamic model of Hepatitis B with Antivirus Treatment |
| Qian Huan,Pei pei Ning,Wei Ding |
| Keywords:Global stability |
| 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 \(R_0 < 1\) , the disease-free equilibrium is globally asymptotically stable. If \(R_0 > 1\), 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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