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?:abstract
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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 isolation strategies: we prove that it is most effective to isolate 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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?:doi
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?:doi
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10.1016/j.physa.2020.125520
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document_parses/pdf_json/de7b3bfe0bd13b1a45c2fe465bfdf9c2a1d2fb0e.json
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document_parses/pmc_json/PMC7644259.xml.json
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?:title
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Epidemic model on a network: Analysis and applications to COVID-19
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