Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution of dietary diversity and a starvation driven cross-diffusion
  system as its singular limit   We rigorously prove the passage from a Lotka-Volterra reaction-diffusion
system towards a cross-diffusion system at the fast reaction limit. The system
models a competition of two species, where one species has a more diverse diet
than the other. The resulting limit gives a cross-diffusion system of a
starvation driven type. We investigate the linear stability of homogeneous
equilibria of those systems and rule out the possibility of Turing instability.
Numerical simulations are included which are compatible with the theoretical
results.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
16
The categories of this paper are: stat