90 citations · 237 across the 30 of their papers we have counts for
4 papers · 1 filter
Traveling waves for a nonlocal KPP equation and mean-field game models of knowledge diffusion
Alessio Porretta, Luca Rossi
We analyze a mean-field game model proposed by economists R.E. Lucas and B. Moll (2014) to describe economic systems where production is based on knowledge growth and diffusion. Th…
Modeling the propagation of riots, collective behaviors, and epidemics
Henri Berestycki, Samuel Nordmann, Luca Rossi
This paper is concerned with a family of Reaction-Diffusion systems that we introduced in [15], and that generalizes the SIR type models from epidemiology. Such systems are now als…
Propagation of epidemics along lines with fast diffusion
Henri Berestycki, Jean-Michel Roquejoffre, Luca Rossi
It has long been known that epidemics can travel along communication lines, such as roads. In the current COVID-19 epidemic, it has been observed that major roads have enhanced its…
Stability analysis for semilinear parabolic problems in general unbounded domains
Luca Rossi
We introduce several notions of generalised principal eigenvalue for a linear elliptic operator on a general unbounded domain, under boundary condition of the oblique derivative ty…