Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new result for 2D boundedness of solutions to a chemotaxis--haptotaxis
  model with/without sub-logistic source   We consider the Neumann problem for a coupled chemotaxis-haptotaxis model of
cancer invasion with/without kinetic source in a 2D bounded and smooth domain.
For a large class of cell kinetic sources including zero source and
sub-logistic sources, we detect an explicit condition involving the chemotactic
strength, the asymptotic "damping" rate, and the initial mass of cells to
ensure uniform-in-time boundedness for the corresponding Neumann problem. Our
finding significantly improves existing 2D global existence and boundedness in
related chemotaxis-/haptotaxis systems.

26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg