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A note on the recurrence of yellow fever epidemics in urban populations

Published online by Cambridge University Press:  14 July 2016

J. Radcliffe*
Affiliation:
Queen Mary College, London

Abstract

An approximate expression is found for the probability density of the recurrence time between major outbreaks of a host-vector disease such as yellow fever, in which the infectious period of a host is short and the lifetime of a vector is short compared with that of a host. The typical interval between epidemics based on the modal value of this distribution is obtained. These results are the analogues of those obtained by Bartlett (1956), (1966) for the periodicity of measles epidemics in small communities.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1974 

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References

Bailey, N. T. J. (1957) The Mathematical Theory of Epidemics. Griffin, London.Google Scholar
Bartlett, M. S. (1956) Deterministic and stochastic models for recurrent epidemics Proc. 3rd Berkeley Symp. Math. Statist. and Prob. 4, 81109.Google Scholar
Bartlett, M. S. (1960) Stochastic Population Models in Ecology and Epidemology. Wiley, New York; Methuen, London.Google Scholar
Bartlett, M. S. (1966) Some notes on epidemiological theory. Research Papers in Statistics, Festschrift for J. Neyman. Ed. David, F. N. Wiley, New York.Google Scholar
Gillet, J. D. (1971) Mosquitos. Weidenfeld and Nicolson, London.Google Scholar
Griffiths, D. A. (1972) A bivariate birth-death process which approximates to the spread of a disease involving a vector J. Appl. Prob. 9, 6575.Google Scholar
Rhodes, A. J. and Van Rooyen, C. E. (1962) Textbook of Virology. Williams and Wilkins, Baltimore.Google Scholar