The Maki–Thompson rumour model: a detailed analysis

✍ Scribed by J. Gani

• Book ID: 104407997
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 60 KB
• Volume: 15
• Category: Article
• ISSN: 1364-8152
• DOI: 10.1016/s1364-8152(00)00029-3

✦ Synopsis

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.