Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A weak comparison principle for reaction-diffusion systems   In this paper we prove a weak comparison principle for a reaction-diffusion
system without uniqueness of solutions. We apply the abstract results to the
Lotka-Volterra system with diffusion, a generalized logistic equation and to a
model of fractional-order chemical autocatalysis with decay. Morever, in the
case of the Lotka-Volterra system a weak maximum principle is given, and a
suitable estimate in the space of essentially bounded functions $L^{\infty}$ is
proved for at least one solution of the problem.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg