Epidemic model on a network: analysis and applications to COVID-19
We analyze an epidemic model on a network consisting of susceptible-infected-recovered equations at the nodes coupled by diffusion using a graph Laplacian. We introduce an epidemic criterion and examine different vaccination/containment strategies: we prove that it is most effective to vaccinate a node of highest degree. The model is also useful to evaluate deconfinement scenarios and prevent a so-called second wave. The model has few parameters enabling fitting to the data and the essential ingredient of importation of infected; these features are particularly important for the current COVID-19 epidemic..
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Preprint| Erscheinungsjahr: |
2019 |
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| Erschienen: |
2019 |
| Enthalten in: |
arXiv.org - (2019) vom: 18. Juni Zur Gesamtaufnahme - year:2019 |
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| Sprache: |
Englisch |
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| Beteiligte Personen: |
Bustamante-Castaneda, F. [VerfasserIn] |
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| Links: |
Volltext [kostenfrei] |
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| PPN (Katalog-ID): |
XAR010107002 |
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| 520 | |a We analyze an epidemic model on a network consisting of susceptible-infected-recovered equations at the nodes coupled by diffusion using a graph Laplacian. We introduce an epidemic criterion and examine different vaccination/containment strategies: we prove that it is most effective to vaccinate a node of highest degree. The model is also useful to evaluate deconfinement scenarios and prevent a so-called second wave. The model has few parameters enabling fitting to the data and the essential ingredient of importation of infected; these features are particularly important for the current COVID-19 epidemic. | ||
| 700 | 1 | |a Bustamante-Castaneda, F. |e verfasserin |4 aut | |
| 700 | 1 | |a Caputo, J. -G. |e verfasserin |4 aut | |
| 700 | 1 | |a Cruz-Pacheco, G. |e verfasserin |4 aut | |
| 700 | 1 | |a Knippel, A. |e verfasserin |4 aut | |
| 700 | 1 | |a Mouatamide, F. |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t arXiv.org |g (2019) vom: 18. Juni |
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| 856 | 4 | 0 | |u https://arxiv.org/abs/1906.07449 |z kostenfrei |3 Volltext |
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