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 Biosciences and Engineering (Jan 2020)

Mathematical analysis of an HBV model with antibody and spatial heterogeneity

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

Affiliations

Kuo-Sheng Huang: 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
Yu-Chiau Shyu: 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
Chih-Lang Lin: 2. Community Medicine Research Center, Chang Gung Memorial Hospital, Keelung Branch, Keelung 204, Taiwan5. Liver Research Unit, Chang Gung Memorial Hospital, Keelung Branch, Keelung 204, Taiwan 6. College of Medicine, Chang Gung University, Guishan, Taoyuan 333, Taiwan
Feng-Bin Wang: 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

DOI: https://doi.org/10.3934/mbe.2020096
Journal volume & issue: Vol. 17, no. 2
pp. 1820 – 1837

Abstract

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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).

Published in Mathematical Biosciences and Engineering

ISSN: 1551-0018 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Technology: Chemical technology: Biotechnology; Science: Mathematics
Website: https://www.aimspress.com/journal/MBE

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