22 citations · 50 across the 18 of their papers we have counts for
20 papers
Abstract Parabolic Equations with boundary white noise: an integrated semigroup approach
Arnaud Ducrot, Fatima Zahra Lahbiri
In this paper, we study the existence of solution for stochastic evolution equations with almost sectorial operators and possibly a non dense domain. Such problems cover several ty…
Asymptotic behavior of an epidemic model with infinitely many variants
Jean-Baptiste Burie, Arnaud Ducrot, Quentin Griette
We investigate the long-time dynamics of a SIR epidemic model with infinitely many pathogen variants infecting a homogeneous host population. We show that the basic reproduction nu…
Existence of multi-dimensional pulsating fronts for KPP equations: a new formulation approach
Liangliang Deng, Arnaud Ducrot
This paper is concerned with the existence of pulsating travelling fronts for a KPP reaction-diffusion equation posed in a multi-dimensional periodic medium. We provide an alternat…
Return-to-home model for short-range human travel
Arnaud Ducrot, Pierre Magal
In this work, we develop a mathematical model to describe the local movement of individuals by taking into account their return to home after a period of travel. We provide a suita…
Quantifying the threshold phenomena for propagation in nonlocal diffusion equations
Matthieu Alfaro, Arnaud Ducrot, Hao Kang
We are interested in the threshold phenomena for propagation in nonlocal diffusion equations with some compactly supported initial data. In the so-called bistable and ignition case…
Spreading properties for non-autonomous Fisher-KPP equations with nonlocal diffusion
Arnaud Ducrot, Zhucheng Jin
We investigate the asymptotic speed of spread of the solutions of a non-autonomous Fisher-KPP equation with nonlocal diffusion, driven by a thin-tailed kernel. In this paper, we ar…