Epidemic branching processes with and without vaccination
Probability
2021-06-15 v1
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.
Cite
@article{arxiv.math/0604607,
title = {Epidemic branching processes with and without vaccination},
author = {Arni S. R. Srinivasa Rao and Chris T. Bauch},
journal= {arXiv preprint arXiv:math/0604607},
year = {2021}
}
Comments
17 pages