Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free boundary problems for the diffusive competition system in higher
  dimension with sign-changing coefficients   In this article we investigate two free boundary problems for a
Lotka-Volterra competition system in a higher space dimension with
sign-changing coefficients. One may be viewed as describing how two competing
species invade if they occupy an initial region, the other describes the
dynamical process of a new competitor invading into the habitat of a native
species. For simplicity, it is assumed that the environment is radially
symmetric. The main purpose of this article is to understand the asymptotic
behavior of competing species spreading via a free boundary. We derive some
sufficient conditions for species spreading success and spreading failure.
Moreover, when spreading successfully, we provide the long time behavior of
solutions.

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The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio