5 citations · 5 across the 1 of their papers we have counts for
4 papers · 1 filter
Qualitative properties of spatial epidemiological models
Romain Ducasse
We study the qualitative properties of a spatial diffusive heterogeneous SIR model, that appears in mathematical epidemiology to describe the spread of an infectious disease in a p…
Influence of a road on a population in an ecological niche facing climate change
Henri Berestycki, Romain Ducasse, Luca Rossi
We introduce a model designed to account for the influence of a line with fast diffusion-such as a road or another transport network-on the dynamics of a population in an ecologica…
Generalized principal eigenvalues for heterogeneous road-field systems
Henri Berestycki, Romain Ducasse, Luca Rossi
This paper develops the notion and properties of the generalized principal eigenvalue for an elliptic system coupling an equation in a plane with one on a line in this plane, toget…
Blocking and invasion for reaction-diffusion equations in periodic media
Romain Ducasse, Luca Rossi
We investigate the large time behavior of solutions of reaction-diffusion equations with general reaction terms in periodic media. We first derive some conditions which guarantee t…