126 citations · 247 across the 19 of their papers we have counts for
4 papers · 2 filters
Existence of self-accelerating fronts for a non-local reaction-diffusion equations
Nathanaël Berestycki, Clément Mouhot, Gaël Raoul
We describe the accelerated propagation wave arising from a non-local reaction-diffusion equation. This equation originates from an ecological problem, where accelerated biological…
The effect of climate shift on a species submitted to dispersion, evolution, growth and nonlocal competition
Matthieu Alfaro, Henri Berestycki, Gaël Raoul
We consider a population structured by a spacevariable and a phenotypical trait, submitted to dispersion,mutations, growth and nonlocal competition. We introduce theclimate shift d…
Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions
Àngel Calsina, Sílvia Cuadrado, Laurent Desvillettes +1
In this paper, we study the asymptotic (large time) behavior of a selection-mutation-competition model for a population structured with respect to a phenotypic trait, when the rate…
Dynamics of a kinetic model describing protein exchanges in a cell population
Pierre Magal, Gaël Raoul
We consider a cell population structured by a positive real number, describing the number of P-glycoproteins carried by the cell. We are interested in the effect of those proteins…