Network Epidemics and Early Stage Vaccination: The Effects of Infectious and Vaccination Delay Periods and Their Randomness

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dc.contributor.authorShaban, Nyimvua
dc.contributor.authorAndersson, Mikael
dc.contributor.authorSvensson, Åke
dc.contributor.authorBritton, Tom
dc.date.accessioned2016-09-21T12:16:34Z
dc.date.available2016-09-21T12:16:34Z
dc.date.issued2011
dc.description.abstractIt is known that the distributions of the latent and infectious periods affect the dynamics of the spread of an infectious disease. Here we consider the SEIR epidemic model describing the spread of an infectious disease giving life-long immunity in a community whose social structure can be represented by a simple random graph having a pre-specified degree distribution. Two real time vaccination strategies, based on tracing and vaccinating the friends of infectious individuals during the early stages of an epidemic, are proposed. The first strategy considers vaccination of each friend of a detected infectious individual independently with probability ρ. The second strategy sets an upper bound on the number of friends an individual can infect before being detected. We derive both the basic reproduction number and the strategy-specific reproduction numbers and show that these reproduction numbers decrease when the variances of the infectious period and the time to detection increase. Under the assumption that detection may only occur after the latent period, the reproduction numbers are independent of the distribution of the latent period.en_US
dc.identifier.citationShaban, N., Andersson, M., Svensson, Å. and Britton, T., 2011. Network epidemics and early stage vaccination: the effects of infectious and vaccination delay periods and their randomness. Pioneer Journal of Mathematics and Mathematical Sciences, 3(1), pp.55-72.en_US
dc.identifier.issn1650-0377
dc.identifier.urihttp://hdl.handle.net/20.500.11810/3801
dc.language.isoenen_US
dc.subjectBranching approximationen_US
dc.subjectCoefficient of variationen_US
dc.subjectDegree distributionen_US
dc.subjectEpidemic modelsen_US
dc.subjectSocial networksen_US
dc.subjectVaccination strategiesen_US
dc.titleNetwork Epidemics and Early Stage Vaccination: The Effects of Infectious and Vaccination Delay Periods and Their Randomnessen_US
dc.typeJournal Article, Peer Revieweden_US
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