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The severity of a viral host-vector epidemic

Published online by Cambridge University Press:  14 July 2016

J. Radcliffe
J. Radcliffe*
Affiliation:
Queen Mary College, London
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Abstract

An analogue of the deterministic pandemic threshold theorem for a measles epidemic is established for a viral host-vector epidemic. The severity of the epidemic is shown to be the unique positive solution of a pair of equations.

Keywords

HOST-VECTOR EPIDEMICSEVERITYPANDEMIC THRESHOLD THEOREM
Type
Short Communications
Information
Journal of Applied Probability , Volume 13 , Issue 4 , December 1976 , pp. 791 - 794
Copyright
Copyright © Applied Probability Trust 1976 

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References

Bailey, N. T. J. (1975) The Mathematical Theory of Infectious Diseases and its Applications. Griffin, London.Google Scholar
Bartlett, M. S. (1960) Stochastic Population Models in Ecology and Epidemiology. Wiley, New York; Methuen, London.Google Scholar
Kendall, D. G. (1957) Discussion of ‘Measles periodicity and community size’ by M. S. Bartlett. J. R. Statist. Soc. A 120, 64–67.Google Scholar
Radcliffe, J. (1973) The initial geographical spread of host-vector and carrier-borne epidemics. J. Appl. Prob. 10, 703–717.Google Scholar
Radcliffe, J. (1974) The periodicity of endemic malaria. J. Appl. Prob. 11, 562–567.Google Scholar
Waltman, P. (1974) Deterministic Threshold Models in the Theory of Epidemics. Springer-Verlag, Berlin, Heidelberg, New York.Google Scholar