11 citations · 12 across the 6 of their papers we have counts for
6 papers
Blocking of 2D bistable reaction-diffusion fronts by obstacles
J. -G. Caputo, G. Cruz-Pacheco, J. Gatlik +1
We investigate numerically the blocking of two-dimensional bistable reaction diffusion fronts by geometric obstacles. Our goal is to derive quantitative criteria for front propagat…
Structured Model Conserving Biomass for the Size-spectrum Evolution in Aquatic Ecosystems
Laura Kanzler, Benoit Perthame, Benoit Sarels
Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and…
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…
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…
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…
Reaction-diffusion front crossing a local defect
Jean-Guy Caputo, Benoit Sarels
The interaction of a Zeldovich reaction-diffusion front with a localized defect is studied numerically and analytically. For the analysis, we start from conservation laws and devel…