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On a perturbation method for the theory of epidemics

Published online by Cambridge University Press:  01 July 2016

George H. Weiss
George H. Weiss*
Affiliation:
National Institutes of Health, Bethesda, Md.
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Extract

The theory of epidemics has been formulated as a deterministic theory and as a stochastic theory. There has been little work, except for a recent paper by Bailey [1], on the transition between the two formulations. In this paper we present an alternate formulation to that of Bailey that leads to a perturbation method more easily extendible to higher orders.

Type
III. Results on the General Stochastic Epidemic
Information
Advances in Applied Probability , Volume 3 , Issue 2 , Autumn 1971 , pp. 218 - 220
Copyright
Copyright © Applied Probability Trust 1971 

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References

[1] Bailey, N. T. J. (1968) A perturbation approach to the simple stochastic epidemic in a large population. Biometrika 55, 199–209.Google Scholar
[2] Bailey, N. T. J. (1950) A simple stochastic epidemic. Biometrika 37, 193–202.CrossRefGoogle ScholarPubMed
[3] Williams, G. T. (1965) The simple stochastic epidemic curve for large populations of susceptibles. Biometrika 52, 571–579.CrossRefGoogle ScholarPubMed