70 citations · 151 across the 19 of their papers we have counts for
3 papers · 2 filters
Predators-prey models with competition Part I: existence, bifurcation and qualitative properties
Henri Berestycki, Alessandro Zilio
We study a mathematical model of environments populated by both preys and predators, with the possibility for predators to actively compete for the territory. For this model we stu…
Spiraling asymptotic profiles of competition-diffusion systems
Susanna Terracini, Gianmaria Verzini, Alessandro Zilio
This paper describes the structure of the nodal set of segregation profiles arising in the singular limit of planar, stationary, reaction-diffusion systems with strongly competitiv…
Variational problems with long-range interaction
Nicola Soave, Hugo Tavares, Susanna Terracini +1
We consider a class of variational problems for densities that repel each other at distance. Typical examples are given by the Dirichlet functional and the Rayleigh functional \[ D…