The stochastic evolution of rumors within a population

Dauhoo, Muhammad Zaid; Juggurnath, Diksha; Adam, Noure-Roukayya Badurally

doi:10.1016/j.mathsocsci.2016.05.002

Cited by 18 publications

(18 citation statements)

References 11 publications

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“…Contagion mechanisms would suggest that inclinations are infectious much like epidemics. Examples for recent work related to collective inclination dynamics include Dauhoo et al [2016] on stochastic evolution of rumor spreading and Eger [2016] on opinion dynamics and wisdom of crowds. Last but not least the network itself may be subject to dynamics, say, following laws of homophily such that the likelihood of a link increases with similarity of preferences.…”

Section: Discussionmentioning

confidence: 99%

Diffusion of behavior in network games with threshold dynamics

Huang

Koster

Lindner

2016

Mathematical Social Sciences

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Research Highlights: • The main novelty of the paper is to assume that the thresholds are endogenously determined. Agents change their inclination by exposition to other inclinations in the social network. • With our model we are able to explain a variety of adoption behavior. Of particular interest is the existence of non-monotonic behavior of the aggregate adoption rate which is not possible in the benchmark model without inclination. Our model is therefore able to explain "sudden" outbreaks of collective action. • This suggests to reinvent the common static and exogenous concept of a tipping point by defining it endogenously generated by the network.

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Section: Discussionmentioning

confidence: 99%

Diffusion of behavior in network games with threshold dynamics

Huang

Koster

Lindner

2016

Mathematical Social Sciences

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“…Based on evolutionary game theory to study rumor propagation, it is found that increasing individual judgment ability can effectively restrain rumor spreading [27]; some scholars classified the audience on the basis of the classical SIR model and built new models [28]. Other than, Huo divided the propagator into highly active and low active states, and used the Routh Stability Criterion to estimate the equilibrium local asymptotic stability, and the global stability of the model is proved by the invariance principle of Lasalle [29].…”

Section: Applied Mathematical Theorymentioning

confidence: 99%

Rumor Spreading: A Survey

Jin¹,

Zhou²

2017

dtcse

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It is the key factor to restrain rumor spreading, purify the environment of network and promote network harmony that deep studying the rumor spreading. The paper first discussed the serious harmfulness of rumor spreading to society. Then, from the social media types, model research methods, model structure, research theory and whether the relationship considered the trust, the paper made the classified research and discussion of the network dissemination; finally, the paper made a prospect of the future research of rumor spreading and put forward some further research ideas.

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“…In order to comprehensively investigate the randomness of Incubator’s impact on the ignorant, Dauhoo et al. [21] extrapolated the deterministic rumor model to a random model by adopting a random coefficient to the term representing the impact within the system. Wang et al.…”

Section: Introductionmentioning

confidence: 99%

Rumor spreading in complex networks under stochastic node activity

Cheng

Huo

Zhao

2020

Physica A: Statistical Mechanics and its Applications

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The research on rumor spreading has a long history, and its wanton flooding has brought huge impact on people’s life. In the process of its spreading, the individual’s activity plays an important role. However, in the complex and changeable environment, randomness cannot be ignored, not to mention its influence on individual activity Based on the model of individual activity, this paper explores the stochastic version of the rumor model including fluctuations in the activity. Then, the influence of Stratonovich stochastic noise on the asymptotic behavior of non-linear rumor spreading model is studied. Through the mathematical analysis, we get the critical values to measure whether the deterministic and stochastics models spread or not, as well as the threshold conditions for rumor to spread wantonly. At the same time, the effects of Stratonovich stochastic noise on the asymptotic behavior of rumor-free equilibrium point and endemic equilibrium point are obtained respectively, and the condition that the rumor-free equilibrium is globally asymptotically stable in the presence of noise is given. Finally, the theoretical results are verified by numerical simulation.

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The stochastic evolution of rumors within a population

Cited by 18 publications

References 11 publications

Diffusion of behavior in network games with threshold dynamics

Diffusion of behavior in network games with threshold dynamics

Rumor Spreading: A Survey

Rumor spreading in complex networks under stochastic node activity

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