Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison principles and applications to mathematical modelling of
  vegetal meta-communities   This article partakes of the PEGASE project the goal of which is a better
understanding of the mechanisms explaining the behaviour of species living in a
network of forest patches linked by ecological corridors (hedges for instance).
Actually we plan to study the effect of the fragmentation of the habitat on
biodiversity. A simple neutral model for the evolution of abundances in a
vegetal metacommunity is introduced. Migration between the communities is
explicitely modelized in a deterministic way, while the reproduction process is
dealt with using Wright-Fisher models, independently within each community. The
large population limit of the model is considered. The hydrodynamic limit of
this split-step method is proved to be the solution of a partial differential
equation with a deterministic part coming from the migration process and a
diffusion part due to the Wright-Fisher process. Finally, the diversity of the
metacommunity is adressed through one of its indicator, the mean extinction
time of a species. At the limit, using classical comparison principles, the
exchange process between the communities is proved to slow down extinction.
This shows that the existence of corridors seems to be good for the
biodiversity.

5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess