Modelling epidemics on d-cliqued graphs


  • Laura P. Schaposnik University of Illinois at Chicago, Chicago, IL, USA Author
  • Anlin Zhang Canyon Crest Academy, SanDiego, CA, USA Author



Epidemic dynamics, Cliques, Symmetric graphs


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.







How to Cite

Modelling epidemics on d-cliqued graphs. (2018). Letters in Biomathematics, 5(1), 49-69.

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