Stochastic model of rumor propagation dynamics on homogeneous social network with expert interaction and fluctuations in contact transmissions

Jain, Ankur; Dhar, Joydip; Gupta, Vijay

doi:10.1016/j.physa.2018.11.051

Cited by 29 publications

(15 citation statements)

References 15 publications

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“…Also Hu et al [31] and Dhar et al [32] studied dynamics of rumor propagation model similar to disease model. Jain et al [33] discussed the stochastic effect on rumor propagation dynamics. Time delay is a real phenomenon in social networking.…”

Section: Introductionmentioning

confidence: 99%

Dynamics and control of delayed rumor propagation through social networks

Ghosh

Das

2021

J. Appl. Math. Comput.

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Section: Introductionmentioning

confidence: 99%

Dynamics and control of delayed rumor propagation through social networks

Ghosh

Das

2021

J. Appl. Math. Comput.

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“…Jia et al [20][21][22] studied the random factors effect on rumor propagation by introducing white noise and jumping noise into the model. Jain et al [23] obtained the global and local asymptotic stability conditions of the deterministic and random models.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of a Stochastic Rumor Propagation Model with Regime Switching

Jia

Cao

2021

Mathematics

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We study the rumor propagation model with regime switching considering both colored and white noises. Firstly, by constructing suitable Lyapunov functions, the sufficient conditions for ergodic stationary distribution and extinction are obtained. Then we obtain the threshold Rs which guarantees the extinction and the existence of the stationary distribution of the rumor. Finally, numerical simulations are performed to verify our model. The results indicated that there is a unique ergodic stationary distribution when Rs>1. The rumor becomes extinct exponentially with probability one when Rs<1.

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“…Jain et al. [27] introduced the concept of expert interaction into the rumor spreading model to further subdivide the categories of people. At the same time, Gauss white noise was included in the model as a random factor, and it was explored that noise may be a reason for the persistence of rumors.…”

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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Stochastic model of rumor propagation dynamics on homogeneous social network with expert interaction and fluctuations in contact transmissions

Cited by 29 publications

References 15 publications

Dynamics and control of delayed rumor propagation through social networks

Dynamics and control of delayed rumor propagation through social networks

Dynamic Analysis of a Stochastic Rumor Propagation Model with Regime Switching

Rumor spreading in complex networks under stochastic node activity

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