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The proportion of the population never hearing a rumour

Published online by Cambridge University Press:  14 July 2016

Aidan Sudbury
Aidan Sudbury*
Affiliation:
Monash University
*
∗Postal address: Department of Mathematics, Monash University, Clayton, VIC 3168, Australia.
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Abstract

For a model of a rumour, first given a non-rigorous treatment by Maki and Thompson, it is shown that the proportion of the population never hearing the rumour converges in probability to 0.203 as the population size tends to∞.

Keywords

EPIDEMIC
Type
Short Communications
Information
Journal of Applied Probability , Volume 22 , Issue 2 , June 1985 , pp. 443 - 446
Copyright
Copyright © Applied Probability Trust 1985 

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References

Frauenthal, J. C. (1980) Mathematical Modelling in Epidemiology. Springer-Verlag, Berlin.Google Scholar
Maki, D. P. and Thompson, M. (1973) Mathematical Models and Applications. Prentice-Hall, Englewood Cliffs, N.J. Google Scholar