8 citations · 22 across the 5 of their papers we have counts for
5 papers · 1 filter
Exponential convergence to a steady-state for a population genetics model with sexual reproduction and selection
Gaël Raoul
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 ope…
Bistable travelling waves for nonlocal reaction diffusion equations
Matthieu Alfaro, Jerome Coville, Gael Raoul
We are concerned with travelling wave solutions arising in a reaction diffusion equation with bistable and nonlocal nonlinearity, for which the comparison principle does not hold.…
Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait
Matthieu Alfaro, Jérôme Coville, Gaël Raoul
We consider a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait. To sustain the possibility of invasion in th…
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
Emeric Bouin, Vincent Calvez, Nicolas Meunier +4
Invasion fronts in ecology are well studied but very few mathematical results concern the case with variable motility (possibly due to mutations). Based on an apparently simple rea…
Population structured by a space variable and a phenotypical trait
Sepideh Mirrahimi, Gael Raoul
We consider populations structured by a phenotypic trait and a space variable, in a non-homogeneous environment. In the case of sex- ual populations, we are able to derive models c…