Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Travelling-wave analysis of a model of tumour invasion with degenerate,
  cross-dependent diffusion   In this paper, we carry out a travelling-wave analysis of a model of tumour
invasion with degenerate, cross-dependent diffusion. We consider two types of
invasive fronts of tumour tissue into extracellular matrix (ECM), which
represents healthy tissue. These types differ according to whether the density
of ECM far ahead of the wave front is maximal or not. In the former case, we
use a shooting argument to prove that there exists a unique travelling wave
solution for any positive propagation speed. In the latter case, we further
develop this argument to prove that there exists a unique travelling wave
solution for any propagation speed greater than or equal to a strictly positive
minimal wave speed. Using a combination of analytical and numerical results, we
conjecture that the minimal wave speed depends monotonically on the degradation
rate of ECM by tumour cells and the ECM density far ahead of the front.

17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph