Global Existence and Blow-Up for a Chemotaxis System

Mathematical Modelling and Analysis

Fuxing Hu¹  Jianhua Zhang²  Jianwei Shen³  Xueyong Chen³ 

[1]Department of Mathematics, Huizhou University, Huizhou, China

[2]School of Electrical Engineering and Automation, Jiangsu Normal University, Xuzhou, China

[3]School of Mathematics and Statistics, Xuchang University, Xuchang, China

关键词: chemotaxis;    global existence;    blow-up;    numerical analysis;   

DOI  :  10.3846/13926292.2017.1292323

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown