# American Institute of Mathematical Sciences

February  2020, 13(2): 105-117. doi: 10.3934/dcdss.2020006

## Stabilization in a chemotaxis model for virus infection

 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

Received  March 2017 Revised  October 2017 Published  January 2019

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

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.

Citation: Nicola Bellomo, Youshan Tao. Stabilization in a chemotaxis model for virus infection. Discrete & Continuous Dynamical Systems - S, 2020, 13 (2) : 105-117. doi: 10.3934/dcdss.2020006
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