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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…
math.AP2024
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…