Noise-induced oscillations for the mean-field dissipative contact process

par Elisa Marini (Paris-Dauphine)

mardi 9 déc. 2025, 09:50 → 10:50 Europe/Paris

Amphi Schwartz

In this talk, we will introduce a dissipative version of the contact process with mean-field interaction admitting a simple epidemiological interpretation. In particular, we will focus on the thermodynamic limit of the process, providing a law of large numbers (propagation of chaos) and a central limit theorem for the corresponding normal fluctuations. These results reveal that it is the noise, which is only present in the finite-size system and is internal to the system, that induces persistent oscillatory behaviors reminiscent of the emergence of pandemic waves in real epidemics. 

The talk is based on a joint work with Paolo Dai Pra (University of Verona).