AIMS Mathematics, 2020, 5(5): 4734-4753. doi: 10.3934/math.2020303

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A dynamic model of hepatitis B virus with drug-resistant treatment

College of Science, Harbin University of Science and Technology, Harbin 150080, China

In this paper, the problem of reducing the effectiveness of drug resistance treatment due to mutation of hepatitis B virus is investigated, a model of hepatitis B virus with drug resistance treatment is established, and the existence conditions of four equilibrium points in the model are provided. The effect of drug resistance caused by virus mutation on drug treatment is simulated. It is found that drug efficacy decreases with the increase in mutation rate. Without considering the value of mutation rate, the continuous usage of drugs can meet the clinical treatment standard, while stopping treatment will cause the virus to rebound.
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