Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of a non-local kinetic model for cell migration with density
  dependent orientation bias   The aim of the article is to study the stability of a non-local kinetic model
proposed by Loy and Preziosi (2019a). We split the population in two subgroups
and perform a linear stability analysis. We show that pattern formation results
from modulation of one non-dimensional parameter that depends on the tumbling
frequency, the sensing radius, the mean speed in a given direction, the uniform
configuration density and the tactic response to the cell density. Numerical
simulations show that our linear stability analysis predicts quite precisely
the ranges of parameters determining instability and pattern formation. We also
extend the stability analysis in the case of different mean speeds in different
directions. In this case, for parameter values leading to instability
travelling wave patterns develop.

32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics