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A mathematical model consisting of two systems of Hepatitis B virus (HBV) infection is set up based on the model of virus dynamics and experimental observation of anti-viral drug therapy for HBV infection patients provided by Nowak. A mathematical analysis of dynamic behaviors shows that the model has two kinds of equilibrium points, which represent the patients' complete recovery and HBV persistent infection at the end of the treatment with drug lamivudine, respectively. Our model may providedoi:10.5539/jmr.v2n4p12 fatcat:c3amh5kyljfvtngabloiq4czsu