Mathematical analysis of an HBV model with antibody and spatial heterogeneity

Mathematical analysis of an HBV model with antibody and spatial heterogeneity

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 reproductio...

Full description

Bibliographic Details
Main Authors: Kuo-Sheng Huang, Yu-Chiau Shyu, Chih-Lang Lin, Feng-Bin Wang
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
hbv
antibody
spatial heterogeneity
uniform persistence
reproduction number
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2020096?viewType=HTML
id doaj-a69ae0dfd2a44959b6b8137560b49860
record_format Article
spelling doaj-a69ae0dfd2a44959b6b8137560b498602021-07-19T06:09:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182020-01-011721820183710.3934/mbe.2020096Mathematical analysis of an HBV model with antibody and spatial heterogeneityKuo-Sheng Huang0Yu-Chiau Shyu1Chih-Lang Lin 2Feng-Bin Wang 31. 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, Taiwan2. 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, Taiwan2. 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, Taiwan1. 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, TaiwanIn 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).https://www.aimspress.com/article/doi/10.3934/mbe.2020096?viewType=HTMLhbvantibodyspatial heterogeneityuniform persistencereproduction number
collection DOAJ
language English
format Article
sources DOAJ
author Kuo-Sheng Huang
Yu-Chiau Shyu
Chih-Lang Lin
Feng-Bin Wang
spellingShingle 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
hbv
antibody
spatial heterogeneity
uniform persistence
reproduction number
author_facet Kuo-Sheng Huang
Yu-Chiau Shyu
Chih-Lang Lin
Feng-Bin Wang
author_sort Kuo-Sheng Huang
title Mathematical analysis of an HBV model with antibody and spatial heterogeneity
title_short Mathematical analysis of an HBV model with antibody and spatial heterogeneity
title_full Mathematical analysis of an HBV model with antibody and spatial heterogeneity
title_fullStr Mathematical analysis of an HBV model with antibody and spatial heterogeneity
title_full_unstemmed Mathematical analysis of an HBV model with antibody and spatial heterogeneity
title_sort mathematical analysis of an hbv model with antibody and spatial heterogeneity
publisher AIMS Press
series Mathematical Biosciences and Engineering
issn 1551-0018
publishDate 2020-01-01
description 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).
topic hbv
antibody
spatial heterogeneity
uniform persistence
reproduction number
url https://www.aimspress.com/article/doi/10.3934/mbe.2020096?viewType=HTML
work_keys_str_mv AT kuoshenghuang mathematicalanalysisofanhbvmodelwithantibodyandspatialheterogeneity
AT yuchiaushyu mathematicalanalysisofanhbvmodelwithantibodyandspatialheterogeneity
AT chihlanglin mathematicalanalysisofanhbvmodelwithantibodyandspatialheterogeneity
AT fengbinwang mathematicalanalysisofanhbvmodelwithantibodyandspatialheterogeneity
_version_ 1721295317225177088

Similar Items