Biostatistics 4:279-295 (2003)
© 2003 Oxford University Press
Branching process models for surveillance of infectious diseases controlled by mass vaccination
Department of Statistics, The Open University, Milton Keynes, MK7 6AA, UK C.P.Farrington{at}open.ac.uk
Department of Epidemiology and Population Health, The American University of Beirut, PO Box 11-0236, Riad El Solh 11072020, Beirut, Lebanon
Communicable Diseases Surveillance Centre, 61 Colindale Avenue, London, NW9 5EQ, UK
*To whom correspondence should be addressed
Mass vaccination programmes aim to maintain the effective reproduction number R of an infection below unity. We describe methods for monitoring the value of R using surveillance data. The models are based on branching processes in which R is identified with the offspring mean. We derive unconditional likelihoods for the offspring mean using data on outbreak size and outbreak duration. We also discuss Bayesian methods, implemented by MetropolisHastings sampling. We investigate by simulation the validity of the models with respect to depletion of susceptibles and under-ascertainment of cases. The methods are illustrated using surveillance data on measles in the USA.
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