167 citations · 358 across the 37 of their papers we have counts for
46 papers
Large time behaviour in the multidimensional nonlocal Fisher-KPP equation
Jean-Michel Roquejoffre, Mingmin Zhang
This work studies the expansion of the level sets of the solutions of a Fisher-KPP type reaction- diffusion equation, the diffusion being given by a nonnegative, compactly supporte…
Sharp asymptotics for a transport model with a nonlocal condition of the Fisher-KPP type at the boundary
Grégory Faye, Jean-Michel Roquejoffre, Mingmin Zhang
This paper is concerned with the precise asymptotics, as time goes to infinity, of a transport problem in a half plane coupled with a nonlinear nonlocal boundary condition. This sy…
Spreading Properties of a City-Road Reaction-Diffusion Model on One-Dimensional Lattice
Grégory Faye, Jean-Michel Roquejoffre, Min Zhao
We propose and study a new model to describe biological invasions constrained on infinite homogeneous one dimensional metric graphs. Our model consists of an infinite PDE-ODE syste…
Concentration in selection-mutation models: error estimates and asymptotic expansions
Caroline Guinet, Sepideh Mirrahimi, Jean-Michel Roquejoffre
In this paper, we study an integro-differential equation which describes the evolutionary dynamics of a population structured by a phenotypic trait. This population undergoes asexu…
Diffusion of knowledge and the lottery society
Henri Berestycki, Alexei Novikov, Jean-Michel Roquejoffre +1
The Lucas-Moll system is a mean-field game type model describing the growth of an economy by means of diffusion of knowledge. The individual agents in the economy advance their kno…
Biological invasions and epidemics with nonlocal diffusion along a line
Henri Berestycki, Jean-Michel Roquejoffre, Luca Rossi
The goal of this work is to understand and quantify how a line with nonlocal diffusion given by an integral enhances a reaction-diffusion process occurring in the surrounding plane…