5 papers · 1 filter
An abstract framework for a class of nonlocal structured population models: existence, uniqueness and stability of steady states
Jérôme Coville, Léo Girardin
This paper is concerned with the study of a class of nonlinear nonlocal functional evolution problems defined in an abstract Banach algebra. We introduce an abstract functional set…
Planar pulsating traveling wave solutions of non-cooperative Fisher--KPP systems in space-time periodic media
Léo Girardin, Grégoire Nadin
Non-cooperative Fisher-KPP systems with space-time periodic coefficients are motivated for instance by models for structured populations evolving in periodic environments. This pap…
Spreading properties of the Fisher--KPP equation when the intrinsic growth rate is maximal in a moving patch of bounded size
Thomas Giletti, Léo Girardin, Hiroshi Matano
This paper is concerned with spreading properties of space-time heterogeneous Fisher--KPP equations in one space dimension. We focus on the case of everywhere favorable environment…
Catch me if you can: a spatial model for a brake-driven gene drive reversal
Léo Girardin, Vincent Calvez, Florence Débarre
Population management using artificial gene drives (alleles biasing inheritance, increasing their own transmission to offspring) is becoming a realistic possibility with the develo…
Non-cooperative Fisher--KPP systems: asymptotic behavior of traveling waves
Léo Girardin
This paper is concerned with non-cooperative parabolic reaction--diffusion systems which share structural similarities with the scalar Fisher--KPP equation. In a previous paper, we…