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Dynamic analysis of a stochastic rumor propagation model

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  • Jia, Fangju
  • Lv, Guangying

Abstract

The rapid development of the Internet, especially the emergence of the social networks, leads rumor propagation into a new media era. In this paper, we are concerned with a stochastic rumor propagation model. Sufficient conditions for extinction and persistence in the mean of the rumor are established. The threshold between persistence in the mean and extinction of the rumor is obtained. Compared with the corresponding deterministic model, the threshold affected by the white noise is smaller than the basic reproduction number R0 of the deterministic system.

Suggested Citation

  • Jia, Fangju & Lv, Guangying, 2018. "Dynamic analysis of a stochastic rumor propagation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 613-623.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:613-623
    DOI: 10.1016/j.physa.2017.08.125
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    References listed on IDEAS

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    Cited by:

    1. Jain, Ankur & Dhar, Joydip & Gupta, Vijay, 2019. "Stochastic model of rumor propagation dynamics on homogeneous social network with expert interaction and fluctuations in contact transmissions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 227-236.
    2. Lu, Peng & Deng, Liping & Liao, Hongbing, 2019. "Conditional effects of individual judgment heterogeneity in information dissemination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 335-344.
    3. Cheng, Yingying & Huo, Liang’an & Zhao, Laijun, 2020. "Rumor spreading in complex networks under stochastic node activity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    4. Lu, Peng & Yao, Qi & Lu, Pengfei, 2019. "Two-stage predictions of evolutionary dynamics during the rumor dissemination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 349-369.
    5. Yanqiao Zheng & Xiaobing Zhao & Xiaoqi Zhang & Xinyue Ye & Qiwen Dai, 2019. "Mining the Hidden Link Structure from Distribution Flows for a Spatial Social Network," Complexity, Hindawi, vol. 2019, pages 1-17, May.
    6. Tong Chen & Ziqing Chen & Xuejun Jin, 2021. "A multiple information model incorporating limited attention and information environment," PLOS ONE, Public Library of Science, vol. 16(10), pages 1-22, October.
    7. Lu, Peng, 2019. "Heterogeneity, judgment, and social trust of agents in rumor spreading," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 447-461.

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