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The deterministic spread of an epidemic

Published online by Cambridge University Press:  01 July 2016

H. E. Daniels
H. E. Daniels*
Affiliation:
University of Birmingham
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Extract

An approximation technique is described for studying the deterministic spread of an epidemic which yields the correct critical velocity, unlike the diffusion approximation. Travelling waves and the spread from an isolated infective are discussed for the simple epidemic, and the work on travelling waves is extended to the general closed epidemic.

Type
Research Article
Information
Advances in Applied Probability , Volume 7 , Issue 3 , September 1975 , pp. 462
Copyright
Copyright © Applied Probability Trust 1975 

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References

Kendall, D. G. (1965) Mathematical models of the spread of infection. Mathematics and Computer Science in Biology and Medicine. Medical Research Council, London. 213–225.Google Scholar
Mollison, D. (1972) Possible velocities for a simple epidemic. Adv. Appl. Prob. 4, 233–257.Google Scholar
Daniels, H. E. (1975) The deterministic spread of a simple epidemic. In Perspectives in Probability and Statistics. Papers in honour of M. S. Bartlett on the occasion of his sixty-fith birthday. Academic Press, London.Google Scholar