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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2403.03783 |
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| _version_ | 1866909129651519488 |
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| author | Pra, Paolo Dai Marini, Elisa |
| author_facet | Pra, Paolo Dai Marini, Elisa |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03783 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Noise-induced oscillations for the mean-field Dissipative Contact Process Pra, Paolo Dai Marini, Elisa Probability 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. |
| title | Noise-induced oscillations for the mean-field Dissipative Contact Process |
| topic | Probability |
| url | https://arxiv.org/abs/2403.03783 |