Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential convergence to a steady-state for a population genetics
  model with sexual reproduction and selection   We are interested in the dynamics of a population structured by a phenotypic
trait. Individuals reproduce sexually, which is represented by a non-linear
integral operator. This operator is combined to a multiplicative operator
representing selection. When the strength of selection is small, we show that
the dynamics of the population is governed by a simple macroscopic differential
equation, and that solutions converge exponentially to steady-states that are
locally unique. The analysis is based on Wasserstein distance inequalities
using a uniform lower bound on distributions. These inequalities are coupled to
tail estimates to show the stability of the steady-states.

29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex