Epidemic model on a network: analysis and applications to COVID-19
Physics and Society
2020-09-25 v4 Pattern Formation and Solitons
Abstract
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.
Keywords
Cite
@article{arxiv.1906.07449,
title = {Epidemic model on a network: analysis and applications to COVID-19},
author = {F. Bustamante-Castaneda and J. -G. Caputo and G. Cruz-Pacheco and A. Knippel and F. Mouatamide},
journal= {arXiv preprint arXiv:1906.07449},
year = {2020}
}