Networks, Epidemics and Vaccination through Contact Tracing

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dc.creatorShaban, Nyimvua
dc.creatorAndersson, Mikael
dc.creatorSvensson, Åke
dc.creatorBritton, Tom
dc.date2016-09-21T17:14:57Z
dc.date2016-09-21T17:14:57Z
dc.date2008
dc.date.accessioned2018-03-27T08:58:16Z
dc.date.available2018-03-27T08:58:16Z
dc.descriptionWe 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.
dc.identifierShaban, N., Andersson, M., Svensson, Å. and Britton, T., 2008. Networks, epidemics and vaccination through contact tracing. Mathematical biosciences, 216(1), pp.1-8.
dc.identifierhttp://hdl.handle.net/20.500.11810/4148
dc.identifier10.1016/j.mbs.2008.06.009
dc.identifier.urihttp://hdl.handle.net/20.500.11810/4148
dc.languageen
dc.publisherElsevier
dc.subjectContact tracing
dc.subjectDegree distribution
dc.subjectDelay time
dc.subjectEpidemic model
dc.subjectReproduction number
dc.subjectNetworks
dc.subjectVaccination model
dc.titleNetworks, Epidemics and Vaccination through Contact Tracing
dc.typeJournal Article, Peer Reviewed

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