On the classical Maki–Thompson rumour model in continuous time

Belen, Selma; Kropat, Erik; Weber, Gerhard‐Wilhelm

doi:10.1007/s10100-009-0120-4

Cited by 33 publications

(25 citation statements)

References 19 publications

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“…The model of rumors propagation [11] based on three groups of individuals: ignorants, spreaders and stifles, leads to the equations of the same kind as the equations specifying the dynamics of concepts. Such a relation can lead to a deeper understanding of the processes of collective cognition and social behavior and, with no doubt, deserves additional specific consideration.…”

Section: Discussionmentioning

confidence: 99%

The Dynamics of Concepts in a Homogeneous Community

Khmelnitsky

Kagan

2013

Entropy

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Abstract:The paper addresses informational interactions in a community and considers the dynamics of concepts that represent distribution of knowledge among the individuals. The evolution of a set of concepts maintained by a community is derived by the use of the concepts' significance in the communication between "cognoscenti" and "dilettanti" and of birth-death processes. The dynamics of concepts depend on the allocation of communication resources and can be governed by an informational principle that requires minimum self-information of the set of concepts over a time horizon. With respect to that principle, the introduction of a new concept into a community's disposal is shown to lead to a steady-state self-information, which is smaller than that before the introduction of the new concept.

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Section: Discussionmentioning

confidence: 99%

The Dynamics of Concepts in a Homogeneous Community

Khmelnitsky

Kagan

2013

Entropy

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“…A rumour is not verified information and is always unconfirmed whereas news is always confirmed. It has been found that people generate rumours in an attempt to make sense of ambiguous, uncertain, or confusing situations [1,2,3,4]. Rumours play a very important role in social life and have existed as a social fact since ancient times.…”

Section: Introductionmentioning

confidence: 99%

“…The rumour model explains the spreading of rumours and serves as a tool for understanding this social phenomenon. Rumours in economics have become more intensively discussed and investigated in last decades [1]. There are examples of dynamics based on communication and exchange at auctions, at the stock markets and trades.…”

Section: Introductionmentioning

confidence: 99%

“…There are examples of dynamics based on communication and exchange at auctions, at the stock markets and trades. These backgrounds and motivations give basis for mathematical models of spreading of rumours [1,5,6]. The Maki -Thompson model [5] and the stochastic Daley -Kendall model [6] are the classical models of spreading of a single rumour.…”

Section: Introductionmentioning

confidence: 99%

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On the generalized rumour model in continuous time

Karelin¹,

Bure²,

Svirkin³

2016

ams

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In this paper, the Maki-Thompson model and the stochastic Daley-Kendall model are generalized using the probability approach for dynamics of spreading of rumour in a continuous time. New generalization model depends on a parameter representing the probability of the outcome of interaction between the two spreaders. The process of spreading rumors is described by a system of linear differential equations. The general solution for dynamics of spreding rumours is obtained and the dependence of the solution on the parameter is investigated numerically.

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“…Each village's interest in rumour spreading lasts only under dened conditions: the lifetime of a rumour is calculated under these assumptions. Belen et al (2011) describe the sociological meaning of rumour, and propose a continuous time model for dynamical spread of a rumour in a homogeneous population to nd long-term proportions of spreaders, ignorants and stiers. Spreaders pass on a rumour; ignorants do not know the rumour and stiers have heard the rumour but either forget it or choose not to pass it on.…”

Section: Literaturementioning

confidence: 99%

Can you model growth of trust? A study of the sustainability of a rural community health centre in North India

Smith

Harper

2015

Journal of Simulation

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Can you model growth of trust? A study of the sustainability of a rural community health centre in north India )>IJH=?J Trust in the service provided by any health facility is of vital importance to its sustainability, whether it is a community clinic in a rural area of a developing country or an international telemedicine service. Community health centres can be used as a means of delivering highly accessible, low-cost health service in the developing world. A major strategic issue for planners of such centres is the expected level of uptake of services throughout a region and its eect on sustainability of any facility. In this study of a clinic in rural north India, Monte Carlo simulation is used in modelling the spatiotemporal spread of usage of the service. Trust in the provider is built both through word-of-mouth contacts and previous development activities: our study contributes to the literature with a practical application of trust modelling.keywords(trust; sustainability; Monte Carlo simulation; OR for developing countries; OR for health service; word-of-mouth spread)

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On the classical Maki–Thompson rumour model in continuous time

Cited by 33 publications

References 19 publications

The Dynamics of Concepts in a Homogeneous Community

The Dynamics of Concepts in a Homogeneous Community

On the generalized rumour model in continuous time

Can you model growth of trust? A study of the sustainability of a rural community health centre in North India

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