Epidemic branching processes with and without vaccination

Arni S. R. Srinivasa Rao; Chris T. Bauch

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Epidemic branching processes with and without vaccination

Arni S. R. Srinivasa Rao·Chris T. Bauch

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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 secondery infections with and without vaccinations.

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Arni S. R. Srinivasa Rao, Chris T. Bauch. 2006-04-27. Epidemic branching processes with and without vaccination. https://arxiv.org/abs/math/0604607

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