8 citations · 14 across the 11 of their papers we have counts for
4 papers · 2 filters
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…
Concentration estimates in a multi-host epidemiological model structured by phenotypic traits
Jean-Baptiste Burie, Arnaud Ducrot, Quentin Griette +1
In this work we consider an epidemic system modelling the evolution of a spore-producing pathogen within a multi-host population of plants. Here we focus our analysis on the study…
Spreading speeds for multidimensional reaction-diffusion systems of the prey-predator type
Arnaud Ducrot, Thomas Giletti, Hiroshi Matano
We investigate spreading properties of solutions of a large class of two-component reaction-diffusion systems, including prey-predator systems as a special case. By spreading prope…