Networks, Epidemics and Vaccination through Contact Tracing

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dc.contributor.authorShaban, Nyimvua
dc.contributor.authorAndersson, Mikael
dc.contributor.authorSvensson, Åke
dc.contributor.authorBritton, Tom
dc.date.accessioned2016-09-21T17:14:57Z
dc.date.available2016-09-21T17:14:57Z
dc.date.issued2008
dc.description.abstractWe consider a (social) network whose structure can be represented by a simple random graph having a pre-specified degree distribution. A Markovian SIR epidemic model is defined on such a social graph. We then consider two real-time vaccination models for contact tracing during the early stages of an epidemic outbreak. The first model considers vaccination of each friend of an infectious individual (once identified) independently with probability ρ. The second model is related to the first model but also sets a bound on the maximum number an infectious individual can infect before being identified. Expressions are derived for the influence on the reproduction number of these vaccination models. We give some numerical examples and simulation results based on the Poisson and heavy-tail degree distributions where it is shown that the second vaccination model has a bigger advantage compared to the first model for the heavy-tail degree distribution.en_US
dc.identifier.citationShaban, N., Andersson, M., Svensson, Å. and Britton, T., 2008. Networks, epidemics and vaccination through contact tracing. Mathematical biosciences, 216(1), pp.1-8.en_US
dc.identifier.doi10.1016/j.mbs.2008.06.009
dc.identifier.urihttp://hdl.handle.net/20.500.11810/4148
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.subjectContact tracingen_US
dc.subjectDegree distributionen_US
dc.subjectDelay timeen_US
dc.subjectEpidemic modelen_US
dc.subjectReproduction numberen_US
dc.subjectNetworksen_US
dc.subjectVaccination modelen_US
dc.titleNetworks, Epidemics and Vaccination through Contact Tracingen_US
dc.typeJournal Article, Peer Revieweden_US
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