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math.AP2026
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…
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…