Noise-induced oscillations for the mean-field Dissipative Contact Process (2403.03783v1)

Published 6 Mar 2024 in math.PR

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.

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