234 citations
- Institut de Mathématiques de MarseilleFR14 papers
- Institut National de Recherche pour l'Agriculture, l'Alimentation et l'EnvironnementFR13 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Aix-Marseille UniversitéFR8 papers
- Centre de Recherche en Mathématiques de la DécisionFR6 papers
- Institut Polytechnique de BordeauxFR6 papers
- Institut National de la Recherche AgronomiqueMA5 papers
- Laboratoire de Mathématiques Blaise PascalFR5 papers
- Laboratoire de Mathématiques d'AvignonFR5 papers
- Château GombertFR4 papers
- Institut de Mécanique et d'Ingénierie de BordeauxFR4 papers
- Laboratoire de Mathématiques Raphaël SalemFR4 papers
43 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…
Explicit pulsating fronts and minimal speeds in periodic Fisher-KPP equations
Lionel Roques
We study a Fisher-KPP equation with spatially periodic diffusion and reaction terms. We identify a class of periodic media for which the equation admits an explicit, closed-form so…
Periodic KPP equations: new insights into persistence, spreading, and the role of advection
Nathanaël Boutillon, François Hamel, Lionel Roques
We focus on the persistence and spreading properties for a heterogeneous Fisher-KPP equation with advection. After reviewing the different notions of persistence and spreading spee…
Travelling waves in nonlocal reaction-dispersion equations with diffuse L{é}vy measures
Emeric Bouin, Jérôme Coville
In this paper, we focus on the existence of travelling fronts for nonlocal reaction-dispersion models. Our aim is to provide a unified existence proof in a very broad framework usi…
Acceleration or finite speed propagation in integro-differential equations with logarithmic Allee effect
Emeric Bouin, Jérôme Coville, Xi Zhang
This paper is devoted to studying propagation phenomena in integro-differential equations with a weakly degenerate non-linearity. The reaction term can be seen as an intermediate b…
Qualitative properties of the spreading speed of a population structured in space and in phenotype
Nathanaël Boutillon
We consider a nonlocal Fisher-KPP equation that models a population structured in space and in phenotype. The population lives in a heterogeneous periodic environment: the diffusio…