8 citations · 14 across the 8 of their papers we have counts for
10 papers · 1 filter
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…
An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions
Arnaud Ducrot, Pierre Magal, Alexandre Thorel
In this work, we consider a linear age-structured problem with diffusion and non-homogeneous boundary conditions both for the age and the space variables. We handle this linear pro…
Asymptotic spreading speeds for a predator-prey system with two predators and one prey
Arnaud Ducrot, Thomas Giletti, Jong-Shenq Guo +1
This paper investigates the large time behaviour of a three species reaction-diffusion system, modelling the spatial invasion of two predators feeding on a single prey species. In…
Large Speed Traveling Waves for the Rosenzweig-MacArthur Model with Spatial Diffusion
Arnaud Ducrot, Zhihua Liu, Pierre Magal
This paper focuses on traveling wave solutions for the so-called Rosenzweig-MacArthur model with spatial diffusion. The main results of this note are concerned with the existence a…
Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations
Matthieu Alfaro, Arnaud Ducrot, Gregory Faye
We focus on the (sharp) threshold phenomena arising in some reaction-diffusion equations supplemented with some compactly supported initial data. In the so-called ignition and bist…