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Spreading dynamics of an online social rumor model with psychological factors on scale-free networks

Author

Listed:
  • Xu, Hao
  • Li, Tao
  • Liu, Xiongding
  • Liu, Wenjin
  • Dong, Jing

Abstract

Considering people’s psychological factors such as hesitation and forgetting, and the heterogeneity of online social networks, a novel SHPRS (susceptible–hesitating–propagating–resisted–susceptible) rumor spreading model on scale-free networks is proposed in this paper. The spreading dynamics of rumor is analyzed in detail through the mean-field theory. First, the basic reproductive number R0 is derived by the next generation matrix method and equilibriums are obtained. Both the existence of rumor equilibriums and the dynamic behaviors of model are determined by the basic reproductive number R0. Then, the global stability of the rumor-free equilibrium E0 and the permanence of rumor spreading are studied in detail. Furthermore, we studied the global attractivity of the rumor-prevailing equilibrium. Finally, numerical simulations are performed to confirm the analytical results.

Suggested Citation

  • Xu, Hao & Li, Tao & Liu, Xiongding & Liu, Wenjin & Dong, Jing, 2019. "Spreading dynamics of an online social rumor model with psychological factors on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 234-246.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:234-246
    DOI: 10.1016/j.physa.2019.03.037
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    4. Hou, Jingrui & Chi, Ming & Li, Tao & Guan, Zhi-Hong & Luo, Kai & Zhang, Ding-Xue, 2019. "Spreading dynamics of SVFR online fraud information model on heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    5. Yin, Fulian & Jiang, Xinyi & Qian, Xiqing & Xia, Xinyu & Pan, Yanyan & Wu, Jianhong, 2022. "Modeling and quantifying the influence of rumor and counter-rumor on information propagation dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
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    7. Chen, Shanshan & Jiang, Haijun & Li, Liang & Li, Jiarong, 2020. "Dynamical behaviors and optimal control of rumor propagation model with saturation incidence on heterogeneous networks," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    8. 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.
    9. Yu, Shuzhen & Yu, Zhiyong & Jiang, Haijun, 2024. "A rumor propagation model in multilingual environment with time and state dependent impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
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