Work

Epidemic branching processes with and without vaccination

Year: 2006

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0604607

Authors: Rao, Arni S. R. Srinivasa, Bauch, Chris T.

Institutions: University of Oxford, University of Guelph

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: green

OpenAlex ID: W1521534678

Cites: 13

Cited by:

Related to: 20