13 citations · 31 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Non-existence of patterns and gradient estimates
Samuel Nordmann
We call pattern any non-constant stable solution of a semilinear elliptic equation with Neumann boundary conditions. A classical theorem of Casten, Holland [19] and Matano [49] sta…
Dynamics of concentration in a population model structured by age and a phenotypical trait
Samuel Nordmann, Benoît Perthame, Cécile Taing
We study a mathematical model describing the growth process of a population structured by age and a phenotypical trait, subject to aging, competition between individuals and rare m…
Dynamics of concentration in a population structured by age and a phenotypic trait with mutations. Convergence of the corrector
Samuel Nordmann, Benoît Perthame
We study an equation structured by age and a phenotypic trait describing the growth process of a population subject to aging, competition between individuals, and mutations. This l…