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The Maki-Thompson rumour model: a detailed analysis

Date

Authors

Gani, Joseph

Publisher

Pergamon-Elsevier Ltd

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.

Keywords

Keywords: Approximation theory; Human engineering; Laplace transforms; Markov processes; Matrix algebra; Partial differential equations; Probability density function; Maki-Thompson model; Probability generating function; Spreader; Stifler; Stochastic rumour; Surviv Ignorant; Laplace transform; Pgf method; Spreader; Stifler; Stochastic rumour; Surviving ignorants

URI

http://hdl.handle.net/1885/90263

Collections

ANU Research Publications

Source

Environmental Modelling and Software

Type

Journal article

DOI

10.1016/S1364-8152(00)00029-3

Restricted until

2037-12-31

Downloads

File

Description

01_Gani_The_Maki-Thompson_rumour_2000.pdf (60.03 KB)