scholarly journals Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption

2022 ◽  
pp. 1-46
Author(s):  
Jie Jiang ◽  
Philippe Laurençot ◽  
Yanyan Zhang
Keyword(s):  
Global Existence ◽  
Uniform Boundedness ◽  
Nutrient Consumption ◽  
Chemotaxis System

scholarly journals GLOBAL EXISTENCE AND BLOW-UP FOR A CHEMOTAXIS SYSTEM

2017 ◽  
Vol 22 (2) ◽  
pp. 237-251
Author(s):  
Xueyong Chen ◽  
Fuxing Hu ◽  
Jianhua Zhang ◽  
Jianwei Shen
Keyword(s):  
Global Existence ◽  
Parabolic System ◽  
Blow Up ◽  
Numerical Test ◽  
Growth Conditions ◽  
Chemotaxis Model ◽  
Global Strong Solution ◽  
Flux Boundary Conditions ◽  
Power Frequency ◽  
Chemotaxis System

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.

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