Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global existence for a degenerate haptotaxis model of tumor invasion
  under the go-or-grow dichotomy hypothesis   We propose and study a strongly coupled PDE-ODE-ODE system modeling cancer
cell invasion through a tissue network under the go-or-grow hypothesis
asserting that cancer cells can either move or proliferate. Hence our setting
features two interacting cell populations with their mutual transitions and
involves tissue-dependent degenerate diffusion and haptotaxis for the moving
subpopulation. The proliferating cells and the tissue evolution are
characterized by way of ODEs for the respective densities. We prove the global
existence of weak solutions and illustrate the model behaviour by numerical
simulations in a two-dimensional setting.

33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th