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

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

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 dete...

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Veröffentlicht in:arXiv.org 2024-03
Hauptverfasser: Paolo Dai Pra, Marini, Elisa
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Dissipation
Oscillations
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description 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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Oscillations
title Noise-induced oscillations for the mean-field Dissipative Contact Process
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