5 citations · 7 across the 5 of their papers we have counts for
7 papers
Adaptation in a heterogeneous environment II: To be three or not to be
M. Alfaro, F. Hamel, F. Patout +1
We propose a model to describe the adaptation of a phenotypically structured population in a -patch environment connected by migration, with each patch associated with a differe…
Diameters of the level sets for reaction-diffusion equations in nonperiodic slowly varying media *
François Hamel, Grégoire Nadin
We consider in this article reaction-diffusion equations of the Fisher-KPP type with a nonlinearity depending on the space variable x, oscillating slowly and non-periodically. We a…
Reaction-diffusion fronts in funnel-shaped domains
François Hamel, Mingmin Zhang
We consider bistable reaction-diffusion equations in funnel-shaped domains of R N made up of straight parts and conical parts with positive opening angles. We study the large time…
Propagation in a Fisher-KPP equation with non-local advection *
François Hamel, Christopher Henderson
We investigate the influence of a general non-local advection term of the form K * u to propagation in the one-dimensional Fisher-KPP equation. This model is a generalization of th…
Large time monotonicity of solutions of reaction-diffusion equations in R^N
Emmanuel Grenier, François Hamel
In this paper, we consider nonnegative solutions of spatially heterogeneous Fisher-KPP type reaction-diffusion equations in the whole space. Under some assumptions on the initial c…
Transition fronts and stretching phenomena for a general class of reaction-dispersion equations
Jimmy Garnier, François Hamel, Lionel Roques
We consider a general form of reaction-dispersion equations with non-local dispersal and local reaction. Under some general conditions, we prove the non-existence of transition fro…