3 papers
math.OC2026
Optimizing vaccine allocation in an age-structured SIR model
LuÃs Almeida, Romain Ducasse, Elisa Paparelli
We study an optimal control problem where the objective is to find the best vaccine allocation during an epidemic outbreak. The epidemic dynamics is described by an age-structured…
math.AP2025
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…
math.AP2024
Emergence of complexity in opinion propagation: A reaction-diffusion model
Romain Ducasse, Samuel Tréton
We analyze a model designed to describe the spread and accumulation of opinions in a population. Inspired by the social contagion paradigm, our model is built on the classical SIR…