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math.AP2019
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…
math.AP2019★ 1 cited
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…
math.AP2019
Regularity results for segregated configurations involving fractional Laplacian
Giorgio Tortone, Alessandro Zilio
We study the regularity of segregated profiles arising from competition - diffusion models, where the diffusion process is of nonlocal type and is driven by the fractional Laplacia…