42 citations · 42 across the 2 of their papers we have counts for
9 papers · 1 filter
Persistence, extinction and spreading properties of non-cooperative Fisher--KPP systems in space-time periodic media
Léo Girardin
This paper is concerned with asymptotic persistence, extinction and spreading properties for non-cooperative Fisher-KPP systems with space-time periodic coefficients. Results are f…
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…
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…
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…
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…
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…