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Global stability of endemic equilibrium point of basic virus infection model with application to HBV infection
Authors:Yu Zheng  Lequan Min  Yu Ji  Yongmei Su  Yang Kuang
Institution:1.Information Engineering School,University of Science and Technology Beijing,Beijing,China;2.Mathematics and Physics School,University of Science and Technology Beijing,Beijing,China;3.Department of Mathematics and Statistics,Arizona State University,Temp,USA
Abstract:In this paper, the authors first show that if R 0 ≤ 1, the infection free steady state is globally attractive by using approaches different from those given by Min, et al.(2008). Then the authors prove that if R 0 > 1, the endemic steady state is also globally attractive. Finally, based on a patient’s clinical HBV DNA data of anti-HBV infection with drug lamivudine, the authors establish an ABVIM. The numerical simulations of the ABVIM are good in agreement with the clinical data.
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