Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lotka-Volterra competition model with nonlocal diffusion and free
  boundaries   This paper is concerned with a nonlocal diffusion Lotka-Volterra type
competition model that consisting of a native species and an invasive species
in a one-dimensional habitat with free boundaries. We prove the well-posedness
of the system and get a spreading-vanishing dichotomy for the invasive species.
We also provide some sufficient conditions to ensure spreading success or
spreading failure for the case that the invasive species is an inferior
competitor or a superior competitor, respectively.

7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th