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Zbl 0578.92025
Sudbury, Aidan
The proportion of the population never hearing a rumour. (English)
[J] J. Appl. Probab. 22, 443-446 (1985). ISSN 0021-9002

Summary: For a model of a rumour, first given a non-rigorous treatment by {\it D. P. Maki} and {\it M. Thompson} [Mathematical models and applications. (1973)], 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 $\infty$.
MSC 2000:
*91D99 Mathematical sociology
92D25 Population dynamics
60G42 Martingales with discrete parameter

Keywords: epidemiological model; model of a rumour

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