Noise-induced oscillations for the mean-field Dissipative Contact Process
Probability
2024-03-07 v1
Abstract
We study a dissipative version of the contact process, with mean-field interaction, which admits a simple epidemiological interpretation. The propagation of chaos and the corresponding normal fluctuations reveal that the noise present in the finite-size system induces oscillations with a nearly deterministic period and a randomly varying amplitude. This is reminiscent of the emergence of pandemic waves in real epidemics.
Keywords
Cite
@article{arxiv.2403.03783,
title = {Noise-induced oscillations for the mean-field Dissipative Contact Process},
author = {Paolo Dai Pra and Elisa Marini},
journal= {arXiv preprint arXiv:2403.03783},
year = {2024}
}