1 citations · 1 across the 4 of their papers we have counts for
5 papers
Impact of the horizontal gene transfer on the evolutionary equilibria of a population
Alejandro Gárriz, Alexis Léculier, Sepideh Mirrahimi
How does the interplay between selection, mutation and horizontal gene transfer modify the phenotypic distribution of a bacterial or cell population? While horizontal gene transfer…
Adaptation to a heterogeneous patchy environment with nonlocal dispersion
Alexis Léculier, Sepideh Mirrahimi
In this work, we provide an asymptotic analysis of the solutions to an elliptic integro-differential equation. This equation describes the evolutionary equilibria of a phenotypical…
Properties of steady states for a class of non-local Fisher-KPP equations in disconnected domains
Alexis Léculier, Jean-Michel Roquejoffre
The question studied here is the existence and uniqueness of a non-trivial bounded steady state of a Fisher-KPP equation involving a fractional Laplacian (--)^ in a domain wi…
Propagation in a fractional reaction-diffusion equation in a periodically hostile environment
Alexis Léculier, Sepideh Mirrahimi, Jean-Michel Roquejoffre
We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected 1-dimensional media with Dirichlet conditions outside the domain. After demonst…
A singular limit in a fractional reaction-diffusion equation with periodic coefficients
Alexis Léculier
We provide an asymptotic analysis of a non-local Fisher-KPP type equation in periodic media and with a non-local stable operator of order (0, 2). We perform a long time-l…