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arXiv · 2403.03783

Noise-induced oscillations for the mean-field Dissipative Contact Process

Paolo Dai Pra·Elisa Marini
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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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Paolo Dai Pra, Elisa Marini. 2024-03-06. Noise-induced oscillations for the mean-field Dissipative Contact Process. https://arxiv.org/abs/2403.03783

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