Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accelerating invasions along an environmental gradient   We consider a population structured by a space variable and a phenotypical
trait, submitted to dispersion, mutations, growth and nonlocal competition.
This population is facing an environmental gradient: the optimal trait for
survival depends linearly on the spatial variable. The survival or extinction
depends on the sign of an underlying principal eigenvalue. We investigate the
survival case when the initial data satisfies a so-called heavy tail condition
in the space-trait plane. Under these assumptions, we show that the solution
propagates in the favorable direction of survival by accelerating. We derive
some precise estimates on the location of the level sets corresponding to the
total population in the space variable, regardless of their traits. Our
analysis also reveals that the orientation of the initial heavy tail is of
crucial importance.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an