9 citations · 13 across the 4 of their papers we have counts for
7 papers
Propagation dynamics of solutions to spatially periodic reaction-diffusion systems with hybrid nonlinearity
Quentin Griette, Hiroshi Matano
In this paper we investigate the dynamical properties of a spatially periodic reaction-diffusion system {whose reaction terms are of hybrid nature in the sense that they are partly…
The spatio-temporal dynamics of interacting genetic incompatibilities. Part I: The case of stacked underdominant clines
Matthieu Alfaro, Quentin Griette, Denis Roze +1
We explore the interaction between two genetic incompatibilities (underdominant loci in diploid organisms) in a population occupying a one-dimensional space. We derive a system of…
Sharp discontinuous traveling waves in a hyperbolic Keller--Segel equation
Xiaoming Fu, Quentin Griette, Pierre Magal
In this work we describe a hyperbolic model with cell-cell repulsion with a dynamics in the population of cells. More precisely, we consider a population of cells producing a field…
A Liouville-type result for non-cooperative Fisher--KPP systems and nonlocal equations in cylinders
Léo Girardin, Quentin Griette
We address the uniqueness of the nonzero stationary state for a reaction-diffusion system of Fisher-KPP type that does not satisfy the comparison principle. Although the uniqueness…
Concentration estimates in a multi-host epidemiological model structured by phenotypic traits
Jean-Baptiste Burie, Arnaud Ducrot, Quentin Griette +1
In this work we consider an epidemic system modelling the evolution of a spore-producing pathogen within a multi-host population of plants. Here we focus our analysis on the study…
A cell-cell repulsion model on a hyperbolic Keller-Segel equation
Xiaoming Fu, Quentin Griette, Pierre Magal
In this work, we discuss a cell-cell repulsion population dynamic model based on a hyperbolic Keller-Segel equation with two populations. This model can well describe the cell grow…