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Mathematical Biosciences and Engineering

2020, Volume 17, Issue 2: 1820-1837. doi: 10.3934/mbe.2020096
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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
  • Received: 30 September 2019 Accepted: 04 December 2019 Published: 18 December 2019

  • 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).

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

    Related Papers:

  • 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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