The Maki-Thompson rumour model: A detailed analysis

J. Gani

doi:10.1016/S1364-8152(00)00029-3

The Maki-Thompson rumour model: A detailed analysis

J. Gani^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

The general solution for stochastic rumour models has recently been derived by Pearce (Math. Comput. Modelling. (2000)) for both the Daley-Kendall and Maki-Thompson cases. This paper concentrates on the simpler Maki-Thompson model, which presents some particular problems of its own. A general solution is set out, and illustrated by an example starting with 1 spreader and 2 ignorants; in this case, the probabilities of 2, 1 and 0 surviving ignorants are 0, 1/4 and 3/4 respectively. (C) 2000 Elsevier Science Ltd.

Original language	English
Pages (from-to)	721-725
Number of pages	5
Journal	Environmental Modelling and Software
Volume	15
Issue number	8
DOIs	https://doi.org/10.1016/S1364-8152(00)00029-3
Publication status	Published - 2000

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title = "The Maki-Thompson rumour model: A detailed analysis",

abstract = "The general solution for stochastic rumour models has recently been derived by Pearce (Math. Comput. Modelling. (2000)) for both the Daley-Kendall and Maki-Thompson cases. This paper concentrates on the simpler Maki-Thompson model, which presents some particular problems of its own. A general solution is set out, and illustrated by an example starting with 1 spreader and 2 ignorants; in this case, the probabilities of 2, 1 and 0 surviving ignorants are 0, 1/4 and 3/4 respectively. (C) 2000 Elsevier Science Ltd.",

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AB - The general solution for stochastic rumour models has recently been derived by Pearce (Math. Comput. Modelling. (2000)) for both the Daley-Kendall and Maki-Thompson cases. This paper concentrates on the simpler Maki-Thompson model, which presents some particular problems of its own. A general solution is set out, and illustrated by an example starting with 1 spreader and 2 ignorants; in this case, the probabilities of 2, 1 and 0 surviving ignorants are 0, 1/4 and 3/4 respectively. (C) 2000 Elsevier Science Ltd.

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KW - Laplace transform

KW - Pgf method

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KW - Stifler

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KW - Surviving ignorants

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The Maki-Thompson rumour model: A detailed analysis

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