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Mathematical analysis of an HBV model with antibody and spatial heterogeneity

1 Department of Natural Science in the Center for General Education, Chang Gung University, Guishan, Taoyuan 333, Taiwan
2 Community Medicine Research Center, Chang Gung Memorial Hospital, Keelung Branch, Keelung 204, Taiwan
3 Department of Nursing, Chang Gung University of Science and Technology, Taoyuan City 333, Taiwan
4 Institute of Molecular Biology, Academia Sinica, Taipei 115, Taiwan
5 Liver Research Unit, Chang Gung Memorial Hospital, Keelung Branch, Keelung 204, Taiwan
6 College of Medicine, Chang Gung University, Guishan, Taoyuan 333, Taiwan

Special Issues: Spatial dynamics for epidemic models with dispersal of organisms and heterogenity of environment

In this paper, we modify the HBV model proposed in [1] to include the spatial variations of free antibody, virus-antibody complexes, and free virus. By using comparison arguments and theory of uniform persistence, we can show that the persistene/extinction of HBV can be determined by the reproduction number(s).
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Keywords HBV; antibody; spatial heterogeneity; uniform persistence; reproduction number

Citation: Kuo-Sheng Huang, Yu-Chiau Shyu, Chih-Lang Lin, Feng-Bin Wang. Mathematical analysis of an HBV model with antibody and spatial heterogeneity. Mathematical Biosciences and Engineering, 2020, 17(2): 1820-1837. doi: 10.3934/mbe.2020096

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