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Mathematical models in the interpretation of the interaction between infective agents

Published online by Cambridge University Press:  01 July 2016

John J. Gart
John J. Gart*
Affiliation:
National Cancer Institute, Bethesda, Md.
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Extract

The effect of an epidemic of chickenpox on the course of an epidemic of yaws in a village of New Guinea was studied by Gart and deVries (1966) and Gart (1968). A deterministic continuous time model was used to confirm that the yaws epidemic accelerated dramatically in the month following the chickenpox epidemic. However, by the nature of the model, no statistical tests are possible.

Type
II. Some Particular Epidemic and Cell Models
Information
Advances in Applied Probability , Volume 3 , Issue 2 , Autumn 1971 , pp. 202 - 203
Copyright
Copyright © Applied Probability Trust 1971 

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References

[1] Bailey, N. T. J. (1957) The Mathematical Theory of Epidemics. Griffin, London.Google Scholar
[2] Billingsley, P. (1961) Statistical Inference for Markov Processes. U. of Chicago Press.Google Scholar
[3] Cox, D. R. (1962) Further tests of separate families of hypotheses. J. R. Statist. Soc. B 24, 406–424.Google Scholar
[4] Gart, J. J. (1968) The mathematical analysis of an epidemic with two kinds of of susceptibles. Biometrics 24, 557–566.Google Scholar
[5] Gart, J. J. and deVries, J. L. (1966). The mathematical analysis of concurrent epidemics of yaws and chickenpox. J. Hyg. Camb. 64, 431–439.Google Scholar
[6] Severo, N. C. (1969) A recursion theorem on solving differential-difference equations and applications to some stochastic processes. J. Appl. Prob. 6, 673–681.Google Scholar