The rumour process

Dunstan, Ross

doi:10.2307/3213828

Cited by 6 publications

(2 citation statements)

References 6 publications

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“…In the standard versions of the models, the most noticeable differences are between the way spreaders cease to spread an item of information and the way infected individuals are removed from epidemic processes. Still, some slightly modified models fit both processes (see, for example, Dunstan [7], where the general stochastic epidemic model is considered as a model for the diffusion of rumours).…”

Section: Introductionmentioning

confidence: 99%

On the behaviour of a rumour process with random stifling

Lebensztayn¹,

Machado²,

Rodríguez³

2011

Environmental Modelling & Software

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We propose a realistic generalization of the Maki-Thompson rumour model by assuming that each spreader ceases to propagate the rumour right after being involved in a random number of stifling experiences. We consider the process with a general initial configuration and establish the asymptotic behaviour (and its fluctuation) of the ultimate proportion of ignorants as the population size grows to $\infty$. Our approach leads to explicit formulas so that the limiting proportion of ignorants and its variance can be computed.Comment: 12 pages, to appear in Environmental Modelling & Softwar

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Section: Introductionmentioning

confidence: 99%

On the behaviour of a rumour process with random stifling

Lebensztayn¹,

Machado²,

Rodríguez³

2011

Environmental Modelling & Software

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“…The basic models for rumor propagation are simple enough that a variety of stochastic and closed form solutions have been proposed (e.g., Daley & Kendall, 1965;Dietz, 1967;Dunstan, 1982;Lefevre & Picard, 1994;Pittel, 1990). For our purposes, however, it is sufficient to observe that the rumor spreading process, as proposed in these models, fits the notion of criticality quite well.…”

Section: Criticality and Pair-wise Rumor Modelsmentioning

confidence: 95%

Resonance within the Client-to-Client System: Criticality, Cascades, and Tipping Points

Gill

2008

InformingSciJ

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Resonance refers to the ability of a rigorous and relevant message to inform and impact a client. In multi-client systems, a critical part of achieving resonance is client-to-client informing. The paper examines this process, developing three alternative models. The Criticality model depends upon the message's ability to motivate clients to resend it; it is most applicable to simple sticky messages, such as rumors and urban myths. The Information Cascade model is client-motivated and depends heavily on the recipient's perception of what other clients are doing; it is most applicable to choice situations where decisions are visible and informing subsequent to a choice is self-regulated by each client. The Tipping Point model is based upon classical diffusion models with heterogeneous individuals (mavens, persuaders, and connectors) introduced into the community; it is most applicable to complex informing situations where continued sender-client involvement is useful throughout the informing process. The behavior of each of these models is studied and spreadsheet-based simulations are also presented. The conclusions characterize each model according to its domain of applicability and also consider how the emerging filed of network theory is impacting our understanding of client-to-client processes.

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A survey of gossiping and broadcasting in communication networks

1988

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Gossiping and broadcasting are two problems of information dissemination described for a group of individuals connected by a communication network. In gossiping every person in the network knows a unique item of information and needs to communicate it to everyone else. In broadcasting one individual has an item of information which needs to be communicated to everyone else. We review the results that have been obtained on these and related problems.

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The rumour process

Cited by 6 publications

References 6 publications

On the behaviour of a rumour process with random stifling

On the behaviour of a rumour process with random stifling

Resonance within the Client-to-Client System: Criticality, Cascades, and Tipping Points

A survey of gossiping and broadcasting in communication networks

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