91 citations · 228 across the 32 of their papers we have counts for
5 papers · 1 filter
The existence and stability of spike solutions for a chemotaxis system modeling crime pattern formation
Henri Berestycki, Linfeng Mei, Juncheng Wei
This paper is a continuation of the paper Berestycki, Wei and Winter \cite{Berestycki2014}. In \cite{Berestycki2014}, the existence of multiple symmetric and asymmetric spike solut…
Predator-prey models with competition, Part II: uniform regularity estimates
Henri Berestycki, Alessandro Zilio
We study a system of elliptic equations with strong competition and an arbitrary large number of components. The system is related to a model of predators and prey, with a single a…
Coupled reaction-diffusion equations on adjacent domains
Henri Berestycki, Luca Rossi, Andrea Tellini
We consider a reaction-diffusion system for two densities lying in adjacent domains of . We treat two configurations: either a cylinder and its complement, or two hal…
Influence of a road on a population in an ecological niche facing climate change
Henri Berestycki, Romain Ducasse, Luca Rossi
We introduce a model designed to account for the influence of a line with fast diffusion-such as a road or another transport network-on the dynamics of a population in an ecologica…
Predator-prey models with competition, Part III: Classification of stationary solutions
Henri Berestycki, Alessandro Zilio
For a stationary system representing prey and groups of competing predators, we show classification results about the set of positive solutions. In particular, we show that if…