Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formation of spatial patterns in epidemic model with constant removal
  rate of the infectives   This paper addresses the question of how population diffusion affects the
formation of the spatial patterns in the spatial epidemic model by Turing
mechanisms. In particular, we present theoretical analysis to results of the
numerical simulations in two dimensions. Moreover, there is a critical value
for the system within the linear regime. Below the critical value the spatial
patterns are impermanent, whereas above it stationary spot and stripe patterns
can coexist over time. We have observed the striking formation of spatial
patterns during the evolution, but the isolated ordered spot patterns don't
emerge in the space.

33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex