activity
20152021
most citedTravelling waves for diffusive and strongly competitive systems: relative motility and invasion speed

42 citations · 42 across the 2 of their papers we have counts for

collaborators

8 papers

math.AP2021

A note on "Existence and uniqueness of coexistence states for an elliptic system coupled in the linear part", by Hei Li-Jun, Nonlinear Anal. Real World Appl. 5, 2004

Léo Girardin

In this short paper I report on a paper published in Nonlinear Analysis: Real World Applications in 2004. There is a major mistake early in that paper which makes most of its claim…

math.AP2021

Demographic feedbacks can hamper the spatial spread of a gene drive

Léo Girardin, Florence Débarre

This paper is concerned with a reaction--diffusion system modeling the fixation and the invasion in a population of a gene drive (an allele biasing inheritance, increasing its own…

math.AP2019

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…

math.AP2019

The effect of random dispersal on competitive exclusion -- A review

Léo Girardin

Does a high dispersal rate provide a competitive advantage when risking competitive exclusion? To this day, the theoretical literature cannot answer this question in full generalit…

math.AP2018

Two components is too simple: an example of oscillatory Fisher--KPP system with three components

Léo Girardin

In a recent paper by Cantrell, Cosner and Yu, two-component KPP systems with competition of Lotka--Volterra type were analyzed and their long-time behavior largely settled. In part…

math.AP2018

Competition in periodic media: III -- Existence \& stability of segregated periodic coexistence states

Léo Girardin, Alessandro Zilio

In this paper we consider a system of parabolic reaction-diffusion equations with strong competition and two related scalar reaction-diffusion equations. We are mainly concerned wi…