Global Existence and Blow-Up for a Chemotaxis System

    Xueyong Chen Info
    Fuxing Hu Info
    Jianhua Zhang Info
    Jianwei Shen Info

Abstract

In this paper we consider a Keller-Segel-type chemotaxis model with reaction term under no-flux boundary conditions, where the kinetics term of the system is power function. Assuming some growth conditions, the existence of bounded global strong solution to the parabolic-parabolic system is given. We also give the numerical test and find out that there exists a threshold. When the power frequency greater than the threshold, both global solution and blow-up solution exist.

Keywords:

chemotaxis, global existence, blow-up, numerical analysis

How to Cite

Chen, X., Hu, F., Zhang, J., & Shen, J. (2017). Global Existence and Blow-Up for a Chemotaxis System. Mathematical Modelling and Analysis, 22(2), 237-251. https://doi.org/10.3846/13926292.2017.1292323

Share

Published in Issue
March 18, 2017
Abstract Views
666

View article in other formats

CrossMark check

CrossMark logo

Published

2017-03-18

Issue

Section

Articles

How to Cite

Chen, X., Hu, F., Zhang, J., & Shen, J. (2017). Global Existence and Blow-Up for a Chemotaxis System. Mathematical Modelling and Analysis, 22(2), 237-251. https://doi.org/10.3846/13926292.2017.1292323

Share