12 citations · 46 across the 10 of their papers we have counts for
15 papers
A retrospective analysis on the use of LLMs to study infant syntax learning
Hélie Bazin, Anouk Barberousse, François Yvon
Large language models (LLMs) have increasingly been used to investigate how children acquire syntax at an early stage of development. This is notably the central scientific goal of…
Optimizing vaccine allocation in an age-structured SIR model
Luís 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…
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…
Long-time behavior of the heterogeneous SIRS epidemiological model
Romain Ducasse, Maxime Laborde
We study the long-time behavior of solutions of the SIRS model, a reaction-diffusion system that appears in epidemiology to describe the spread of epidemics. We allow the system to…
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…
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…