Yulin Lai, Youjun Xiao
This article concerns the chemorepulsion system with nonlinear sensitivity and nonlinear secretion
under homogeneous Neumann boundary conditions, where , m>0, , is a bounded domain with smooth boundary. The existence and uniform boundedness of a classical global solutions are obtained. Furthermore, it is shown that for any given , if or , the corresponding solution (u,v) converges to as time goes to infinity, where .
Submitted April 7, 2017. Published October 10, 2017.
Math Subject Classifications: 35K55, 35Q92, 35Q35, 92C17.
Key Words: Chemotaxis; repulsion; nonlinear sensitivity;global solution; asymptotic behavior.
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| Yulin Lai |
Third People's Hospital of Yibin City
Yibin 644000, China
| Youjun Xiao|
College of Mathematic & Information
China West Normal University
Nanchong 637002, China
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