Global dynamics of a PDE in-host viral model

Feng Bin Wang; Yu Huang; Xingfu Zou

doi:10.1080/00036811.2014.955797

Global dynamics of a PDE in-host viral model

Feng Bin Wang
, Yu Huang
, Xingfu Zou^*

^*Corresponding author for this work

Center for General Education

Sun Yat-Sen University
Western University
Central South University

Research output: Contribution to journal › Journal Article › peer-review

71 Scopus citations

Abstract

We consider an in-host virus dynamics model with spatial heterogeneity on the general bounded domain, and homogenous Neumann boundary condition. Under the assumption that only the free virus diffuse and the host cells (infected and uninfected) are not mobile, the model turns out to be hybrid in the sense that it consists of two point-wise ODEs and an PDE. We explore the virus dynamics by analyzing the model and identifying the basic reproduction number. When all model parameters are constants, the global dynamics of the model are fully determined.

Original language	English
Pages (from-to)	2312-2329
Number of pages	18
Journal	Applicable Analysis
Volume	93
Issue number	11
DOIs	https://doi.org/10.1080/00036811.2014.955797
State	Published - 02 11 2014

Bibliographical note

Publisher Copyright:
© 2014 Taylor & Francis.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

HBV
Infection
basic reproduction number
principle eigenvalue
threshold

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10.1080/00036811.2014.955797

Cite this

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AB - We consider an in-host virus dynamics model with spatial heterogeneity on the general bounded domain, and homogenous Neumann boundary condition. Under the assumption that only the free virus diffuse and the host cells (infected and uninfected) are not mobile, the model turns out to be hybrid in the sense that it consists of two point-wise ODEs and an PDE. We explore the virus dynamics by analyzing the model and identifying the basic reproduction number. When all model parameters are constants, the global dynamics of the model are fully determined.

KW - HBV

KW - Infection

KW - basic reproduction number

KW - principle eigenvalue

KW - threshold

UR - https://www.scopus.com/pages/publications/84916599889

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ER -

Global dynamics of a PDE in-host viral model

Abstract

Bibliographical note

UN SDGs

Keywords

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