Modelling epidemics on d-cliqued graphs
| Autor: | Laura P. Schaposnik, Anlin Zhang |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Letters in Biomathematics, Vol 5, Iss 1, Pp 49-69 (2018) |
| Druh dokumentu: | article |
| ISSN: | 2373-7867 23737867 |
| DOI: | 10.1080/23737867.2017.1419080 |
| Popis: | Since social interactions have been shown to lead to symmetric clusters, we propose here that symmetries play a key role in epidemic modelling. Mathematical models on d-ary tree graphs were recently shown to be particularly effective for modelling epidemics in simple networks. To account for symmetric relations, we generalize this to a new type of networks modelled on d-cliqued tree graphs, which are obtained by adding edges to regular d-trees to form d-cliques. This setting gives a more realistic model for epidemic outbreaks originating within a family or classroom and which could reach a population by transmission via children in schools. Specifically, we quantify how an infection starting in a clique (e.g. family) can reach other cliques through the body of the graph (e.g. public places). Moreover, we propose and study the notion of a safe zone, a subset that has a negligible probability of infection. |
| Databáze: | Directory of Open Access Journals |
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