Mathematical analysis of an HBV model with antibody and spatial heterogeneity

Kuo-Sheng Huang; Yu-Chiau Shyu; Chih-Lang Lin; Feng-Bin Wang

doi:10.3934/mbe.2020096

Mathematical analysis of an HBV model with antibody and spatial heterogeneity

Math Biosci Eng. 2019 Dec 18;17(2):1820-1837. doi: 10.3934/mbe.2020096.

Authors

Kuo-Sheng Huang^{1

2}, Yu-Chiau Shyu^{2

3

4}, Chih-Lang Lin^{2

5

6}, Feng-Bin Wang^{1

2}

Affiliations

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.

PMID: 32233610
DOI: 10.3934/mbe.2020096

Abstract

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).

Keywords: HBV; antibody; reproduction number; spatial heterogeneity; uniform persistence.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Antibodies*
Hepatitis B virus*

Substances

Antibodies