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Based on an amended basic virus infection model, this paper introduces a virus infection model with an immune variable. We show that if the basic infection reproductive number R of the model is less than 1, then the infection-free equilibrium of the model is globally attractive. This result implies that an infected individual with R <; 1 will eventually recover even if infected with a large amount of virus. As an application, we use this model to simulate chronical hepatitis B patients' mean hepatitis B virus (HBV) DNA levels during 48 weeks' anti-HBV infection treatment and 24 weeks' treatment-free follow-up. Our numerical simulation results described the rapid reduction and relapse of patients' mean HBV DNA levels. Further numerical simulations show that only for a treatment period of about 11 years will all infected hepatocytes be replaced by normal ones.