Stabilization in a chemotaxis model for virus infection

Nicola Bellomo; Youshan Tao

doi:10.3934/dcdss.2020006

Article Contents

2020, Volume 13, Issue 2: 105-117. Doi: 10.3934/dcdss.2020006

This issue Previous Article Preface: Analysis of cross-diffusion systems Next Article Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity

Stabilization in a chemotaxis model for virus infection

Nicola Bellomo^1, and
Youshan Tao^2, ,

1.
Politecnico of Torino, Corso Duca degli Abruzzi 24, Torino 10129, Italy, Collegio Carlo Alberto, Torino, Italy
2.
Department of Applied Mathematics, Dong Hua University, Shanghai 200051, China

^#Corresponding author: Youshan Tao
^#Corresponding author: Youshan Tao

Received: March 2017

Revised: October 2017

Published: February 2020

Youshan Tao acknowledges the support by National Natural Science Foundation of China, No. 11571070.

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Abstract

This paper presents a qualitative analysis of a model describing the time and space dynamics of a virus which migrates driven by chemotaxis. The initial-boundary value problem related to applications of the model to a real biological dynamics is studied in detail. The main result consists in the proof of global existence and asymptotic stability.

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Mathematics Subject Classification: Primary: 35B40, 35K57, 35Q92; Secondary: 92C17.

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