On the size of a rumour

DOI10.1016/0304-4149(87)90010-XzbMath0643.60055OpenAlexW2056887106MaRDI QIDQ1102041

Ray Watson

Publication date: 1987

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(87)90010-x

zbMATH Keywords

martingaleasymptotic resultsmodels of rumour spreading

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Diffusion processes (60J60)

Related Items (20)

Rumours, epidemics, and processes of mass action: Synthesis and analysis ⋮ The Maki-Thompson rumor model on infinite Cayley trees ⋮ On the spread of a fatal disease ⋮ A connection between a system of random walks and rumor transmission ⋮ Total flooding time and rumor propagation on graphs ⋮ A model for the spreading of fake news ⋮ Can the indifferent population affect the spread of rumors? ⋮ On the classical Maki-Thompson rumour model in continuous time ⋮ Phase transition for the Maki-Thompson rumour model on a small-world network ⋮ A spatial stochastic model for rumor transmission ⋮ A large deviations principle for the Maki-Thompson rumour model ⋮ The Role of Multiple Repetitions on the Size of a Rumor ⋮ Cyto-fluid dynamic theory ⋮ Two Markov Models of the Spread of Rumors ⋮ Deterministic models for rumor transmission ⋮ Rumours with general initial conditions ⋮ Asymptotic behavior for a modified Maki-Thompson model with directed inter-group interactions ⋮ The exact solution of the general stochastic rumour. ⋮ On the duration of a Maki-Thompson epidemic ⋮ Stochastic rumors on random trees

Cites Work

• Mathematical modeling in epidemiology
• An application of a martingale central limit theorem to the standard epidemic model
• On the size distribution for some epidemic models
• Solutions of ordinary differential equations as limits of pure jump markov processes
• The principle of the diffusion of arbitrary constants
• The proportion of the population never hearing a rumour

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