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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
agricultural and biological sciences
Networks, epidemics and vaccination through contact tracing
Mathematical Biosciences, Volume 216, No. 1, Year 2008
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Description
We consider a (social) network whose structure can be represented by a simple random graph having a pre-specified degree distribution. A Markovian susceptible-infectious-removed (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. © 2008 Elsevier Inc. All rights reserved.
Authors & Co-Authors
Shaban, Nyimvua
Sweden, Stockholm
Stockholms Universitet
Tanzania, Dar es Salaam
University of Dar es Salaam
Andersson, Mikael
Sweden, Stockholm
Stockholms Universitet
Svensson, Åke
Sweden, Stockholm
Stockholms Universitet
Britton, Tom C.
Sweden, Stockholm
Stockholms Universitet
Statistics
Citations: 22
Authors: 4
Affiliations: 2
Identifiers
Doi:
10.1016/j.mbs.2008.06.009
ISSN:
00255564