Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatial Dynamics of a Nonlocal Dispersal Population Model in a Shifting
  Environment   This paper is concerned with spatial spreading dynamics of a nonlocal
dispersal population model in a shifting environment where the favorable region
is shrinking. It is shown that the species will become extinct in the habitat
once the speed of the shifting habitat edge $c>c^*(\infty)$, however if
$c<c^*(\infty)$, the species will persist and spread along the shifting habitat
at an asymptotic spreading speed $c^*(\infty)$, where $c^*(\infty)$ is
determined by the nonlocal dispersal kernel, diffusion rate and the maximum
linearized growth rate. Moreover, we demonstrate that for any given speed of
the shifting habitat edge, this model admits a nondecreasing traveling wave
with the wave speed at which the habitat is shifting, which indicates that the
extinction wave phenomenon does happen in such a shifting environment.

6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom