Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of self-accelerating fronts for a non-local reaction-diffusion
  equations   We describe the accelerated propagation wave arising from a non-local
reaction-diffusion equation. This equation originates from an ecological
problem, where accelerated biological invasions have been documented. The
analysis is based on the comparison of this model with a related local
equation, and on the analysis of the dynamics of the solutions of this second
model thanks to probabilistic methods.

5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph