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Dynamical Analysis of Rumor Spreading Model considering Node Activity in Complex Networks

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Listed:
  • Liang’an Huo
  • Fan Ding
  • Chen Liu
  • Yingying Cheng

Abstract

The dynamic models are proposed to investigate the influence node activity has on rumor spreading process in both homogeneous and heterogeneous networks. Different from previous studies, we believe that the activity of nodes in complex networks affects the process of rumor spreading. An active node can have contact with all the nodes it directly links to, while an inactive node could only interact with its active neighbors. We explore the joint effort of activity rate, spreading rate and network topology on rumor spreading process by mean-field equations and numerical simulations, which reveals that there exists a critical curve consisting of critical activity rate and spreading rate; meanwhile, activity rate and spreading rate both have influence on the final rumor spreading scale.

Suggested Citation

  • Liang’an Huo & Fan Ding & Chen Liu & Yingying Cheng, 2018. "Dynamical Analysis of Rumor Spreading Model considering Node Activity in Complex Networks," Complexity, Hindawi, vol. 2018, pages 1-10, November.
    • Handle: RePEc:hin:complx:1049805
    DOI: 10.1155/2018/1049805
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    Cited by:

    1. Chunfeng Wei & Chunlong Fu & Xiaofan Yang & Yang Qin & Luxing Yang, 2025. "Stability Analysis of a Rumor-Spreading Model with Two Time Delays and Saturation Effect," Mathematics, MDPI, vol. 13(11), pages 1-27, May.
    2. Teng Sheng & Chunlong Fu & Xiaofan Yang & Yang Qin & Luxing Yang, 2025. "Asymptotic Stability of a Rumor Spreading Model with Three Time Delays and Two Saturation Functions," Mathematics, MDPI, vol. 13(12), pages 1-25, June.
    3. Chunlong Fu & Guofang Liu & Xiaofan Yang & Yang Qin & Luxing Yang, 2025. "A Rumor-Spreading Model with Three Identical Time Delays," Mathematics, MDPI, vol. 13(9), pages 1-26, April.
    4. Liang’an Huo & Yuqing Zhang, 2022. "Effect of Global and Local Refutation Mechanism on Rumor Propagation in Heterogeneous Network," Mathematics, MDPI, vol. 10(4), pages 1-17, February.
    5. Li Ding & Ping Hu, 2019. "Contagion Processes on Time-Varying Networks with Homophily-Driven Group Interactions," Complexity, Hindawi, vol. 2019, pages 1-13, October.

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