The exact solution of the general stochastic rumour.

DOI10.1016/S0895-7177(00)00098-4zbMath1043.92526OpenAlexW2068600781MaRDI QIDQ1597096

Charles E. M. Pearce

Publication date: 5 May 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00098-4

Mathematics Subject Classification ID

Epidemiology (92D30) Special processes (60K99)

Related Items (12)

Global stability of a \textit{SEIR} rumor spreading model with demographics on scale-free networks ⋮ Rumours, epidemics, and processes of mass action: Synthesis and analysis ⋮ The Maki-Thompson rumor model on infinite Cayley trees ⋮ Analyzing the dynamics of a rumor transmission model with incubation ⋮ ASYMPTOTIC BEHAVIOUR OF THE STOCHASTIC MAKI–THOMPSON MODEL WITH A FORGETTING MECHANISM ON OPEN POPULATIONS ⋮ Two Markov Models of the Spread of Rumors ⋮ Dynamical behavior of a rumor transmission model with psychological effect in emergency event ⋮ Optimal control of a rumor propagation model with latent period in emergency event ⋮ Deterministic models for rumor transmission ⋮ Optimal control of information epidemics modeled as Maki Thompson rumors ⋮ Rumor Processes on N ⋮ Asymptotic behavior for a modified Maki-Thompson model with directed inter-group interactions

Cites Work

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• On the size of a rumour
• Mathematical modeling in epidemiology
• On a Daley-Kendall model of random rumours
• The rumour process
• Distribution of the final extent of a rumour process
• A solution of the general stochastic epidemic
• On a partial differential equation of epidemic theory. I
• The principle of the diffusion of arbitrary constants
• The proportion of the population never hearing a rumour

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