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Effects of online and offline interaction on rumor propagation in activity-driven networks

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  • Zhu, He
  • Ma, Jing
  • Li, Shan

Abstract

Considering the influence of the online and offline interaction of individuals, time-varying structure of networks and the diversity of the individuals’ characteristics on the rumor propagation process, a more comprehensive model based on the activity-driven network is proposed in this paper. By means of the mean-field theory, the rumor propagation process is theoretically analyzed and the criticality condition of the widespread of rumors is quantitatively derived. To verify the theoretical results, a series of numerical simulations are conducted. The results demonstrate that the existence of online spreading channel promotes the spread of rumors and lowers the dependence of rumor spreading on the offline channel. In addition, compared with the interaction preference, the propagation ability is a more decisive factor for rumor spreading. Furthermore, within a certain range of the interaction level, the increase of the factor can significantly accelerate the spreading process; however, when the interaction level reaches a certain value, further increasing it will not exert additional influence on the rumor dynamics.

Suggested Citation

  • Zhu, He & Ma, Jing & Li, Shan, 2019. "Effects of online and offline interaction on rumor propagation in activity-driven networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1124-1135.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:1124-1135
    DOI: 10.1016/j.physa.2019.04.006
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    References listed on IDEAS

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    1. Dun, Han & Shuting, Yan & She, Han & Lingfei, Qian & Chris, Ampimah Benjamin, 2019. "Research on how the difference of personal propagation ability influences the epidemic spreading in activity-driven network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 311-318.
    2. Zhu, He & Ma, Jing, 2019. "Analysis of SHIR rumor propagation in random heterogeneous networks with dynamic friendships," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 257-271.
    3. Sejeong Kwon & Meeyoung Cha & Kyomin Jung, 2017. "Rumor Detection over Varying Time Windows," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-19, January.
    4. Liu, Wanping & Wu, Xiao & Yang, Wu & Zhu, Xiaofei & Zhong, Shouming, 2019. "Modeling cyber rumor spreading over mobile social networks: A compartment approach," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 214-229.
    5. Yang, Dong & Chow, Tommy W.S. & Zhong, Lu & Zhang, Qingpeng, 2018. "The competitive information spreading over multiplex social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 981-990.
    6. Nekovee, M. & Moreno, Y. & Bianconi, G. & Marsili, M., 2007. "Theory of rumour spreading in complex social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 457-470.
    7. Hu, Yuhan & Pan, Qiuhui & Hou, Wenbing & He, Mingfeng, 2018. "Rumor spreading model with the different attitudes towards rumors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 331-344.
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    Cited by:

    1. An, Xuming & Ding, Li & Hu, Ping, 2020. "Information propagation with individual attention-decay effect on activity-driven networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    2. Tan, Jipeng & Zhang, Man & Liu, Fengming, 2024. "Online-Offline Higher-Order Rumor Propagation Model Based on Quantum Cellular Automata Considering Social Adaptation," Applied Mathematics and Computation, Elsevier, vol. 461(C).

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