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Classical Galton-Watson Branching Process and Vaccination

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Title: Classical Galton-Watson Branching Process and Vaccination
Author: Srinivasa Rao, Arni S.R.; Bauch, Chris T.
Abstract: Here we treat the transmission of disease through a population as a standard Galton-Watson branching process, modified to take the presence of vaccination into account. Vaccination reduces the number of secondary infections produced per infected individual. We show that introducing vaccination in a population therefore reduces the expected time to extinction of the infection. We also prove results relating the distribution of number of secondary infections with and without vaccinations.
Date: 2008
Rights Holder: Copyright 2008, Academic Publications Ltd.
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Related Publications: Srinivasa Rao, A. S. R. and Bauch, C. T. (2008). Classical Galton-Watson Branching Process and Vaccination. International Journal of Pure and Applied Mathematics. 44(4): 595-607.

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