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math.AP2022
Propagation properties in a multi-species SIR reaction-diffusion system
Romain Ducasse, Samuel Nordmann
We consider a multi-species reaction-diffusion system that arises in epidemiology to describe the spread of several strains, or variants, of a disease in a population. Our model is…
math.AP2022★ 10 cited
The field-road diffusion model: fundamental solution and asymptotic behavior
Matthieu Alfaro, Romain Ducasse, Samuel Tréton
We consider the linear field-road system, a model for fast diffusion channels in population dynamics and ecology. This system takes the form of a system of PDEs set on domains of d…