4 papers
Range expansion by growth and congestion
Henri Berestycki, Antoine Mellet
We introduce here a nonlinear and nonlocal model that describes the range expansion of a population resulting from growth and competition for space. This type of phenomenon underli…
The Influence of Exclusion Zones on the Coexistence of Predator and Prey with an Allee Effect
Henri Berestycki, William F. Fagan, Alex Safsten
We propose a reaction--diffusion model of predator--prey interaction in which the predators occupy only a subset of the prey's territory, leaving a predator-free exclusion zone. Ec…
Front propagation through a perforated wall
Henri Berestycki, François Hamel, Hiroshi Matano
We consider a bistable reaction-diffusion equation on in the presence of an obstacle , which is a wall of infinite span with many holes. More preci…
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…