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Classical Galton-Watson Branching Process and Vaccination

Show simple item record Srinivasa Rao, Arni S.R. Bauch, Chris T. 2018-09-25T15:33:03Z 2018-09-25T15:33:03Z 2008 2008 2008
dc.description.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. en_US
dc.language.iso en en_US
dc.publisher Academic Publications Ltd. en_US
dc.subject branching process en_US
dc.subject epidemic en_US
dc.subject vaccination en_US
dc.subject uniform convergence en_US
dc.subject gamma function en_US
dc.title Classical Galton-Watson Branching Process and Vaccination en_US
dc.type Article en_US
dc.rights.holder Copyright 2008, Academic Publications Ltd.
dc.rights.license All items in the Atrium are protected by copyright with all rights reserved unless otherwise indicated.
dcterms.relation 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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