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A Dual Rumor Spreading Model with Consideration of Fans versus Ordinary People

Author

Listed:
  • Hongying Xiao

    (Faculty of Science, Yibin University, Yibin 644000, China)

  • Zhaofeng Li

    (Department of Mathematics, China Three Gorges University, Yichang 443002, China)

  • Yuanyuan Zhang

    (Department of Mathematics, China Three Gorges University, Yichang 443002, China)

  • Hong Lin

    (Institute of Intelligence Science and Engineering, Shenzhen Polytechnic, Shenzhen 518055, China)

  • Yuxiao Zhao

    (School of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005, China
    School of Mathematical and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China)

Abstract

The spread of rumors in online social networks (OSNs) has caused a serious threat to the normal social order. In order to describe the rumor-spreading dynamics in OSNs during emergencies, a novel model with consideration of fans versus ordinary people is proposed in this paper. In contrast to previous studies, we consider the case that two rumors exist simultaneously. It is assumed that one is an entertainment rumor that fans care about, and the other is a common rumor. First, we derive the mean-field equations that describe the dynamics of this dual rumor propagation model and obtain the threshold parameter. Secondly, after finding the necessary and sufficient conditions for the existence of equilibriums, we examine the equilibrium’s local and global stability. Finally, simulations are used to explain how various parameters affect the process of spreading rumors.

Suggested Citation

  • Hongying Xiao & Zhaofeng Li & Yuanyuan Zhang & Hong Lin & Yuxiao Zhao, 2023. "A Dual Rumor Spreading Model with Consideration of Fans versus Ordinary People," Mathematics, MDPI, vol. 11(13), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2958-:d:1185544
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    References listed on IDEAS

    as
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