3 papers
math.AP2021
The spatio-temporal dynamics of interacting genetic incompatibilities. Part I: The case of stacked underdominant clines
Matthieu Alfaro, Quentin Griette, Denis Roze +1
We explore the interaction between two genetic incompatibilities (underdominant loci in diploid organisms) in a population occupying a one-dimensional space. We derive a system of…
nlin.PS2020
Stopping a reaction-diffusion front
Jean-Guy Caputo, Gustavo Cruz-Pacheco, Benoit Sarels
We revisit the problem of pinning a reaction-diffusion front by a defect, in particular by a reaction-free region. Using collective variables for the front and numerical simulation…
q-bio.PE2012
Generalized traveling wave in heterogeneous media: Allee effect can inhibit invasion
Benoit Sarels
In this paper, we study a simple one-dimensional model of reaction-diffusion with bistable non-linearity and in heterogeneous media. The bistable term accounts for the so-called Al…