Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8959541 | Journal of Mathematical Analysis and Applications | 2018 | 15 Pages |
Abstract
We show global existence and boundedness of classical solutions to a virus infection model with chemotaxis in bounded smooth domains of arbitrary dimension and for any sufficiently regular nonnegative initial data and homogeneous Neumann boundary conditions. More precisely, the system considered isut=Îuâââ
(u(1+u)αâv)âuw+κâu,vt=Îv+uwâv,wt=Îwâw+v, with κâ¥0, and solvability and boundedness of the solution are shown under the condition that{α>23,if n=1α>12+n26n+4,if 2â¤nâ¤4α>n4,if nâ¥5.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Bingran Hu, Johannes Lankeit,