2 papers
math.AP2026
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…
math.AP2026
Range expansion by growth and congestion
Henri Berestycki, Antoine Mellet
We introduce a nonlinear and nonlocal model that describes the range expansion of a population resulting from growth and competition for space. This type of phenomenon underlies th…