Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invasion of open space by two competitors: spreading properties of
  monostable two-species competition--diffusion systems   This paper is concerned with some spreading properties of monostable
Lotka--Volterra two-species competition--diffusion systems when the initial
values are null or exponentially decaying in a right half-line. Thanks to a
careful construction of super-solutions and sub-solutions, we improve
previously known results and settle open questions. In particular, we show that
if the weaker competitor is also the faster one, then it is able to evade the
stronger and slower competitor by invading first into unoccupied territories.
The pair of speeds depends on the initial values. If these are null in a right
half-line, then the first speed is the KPP speed of the fastest competitor and
the second speed is given by an exact formula describing the possibility of
non-local pulling. Furthermore, the unbounded set of pairs of speeds achievable
with exponentially decaying initial values is characterized, up to a negligible
set.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol