中国物理B ›› 2022, Vol. 31 ›› Issue (5): 50202-050202.doi: 10.1088/1674-1056/ac3d82

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Correlation and trust mechanism-based rumor propagation model in complex social networks

Xian-Li Sun(孙先莉), You-Guo Wang(王友国), and Lin-Qing Cang(仓林青)   

  1. School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
  • 收稿日期:2021-08-05 修回日期:2021-11-02 出版日期:2022-05-14 发布日期:2022-04-18
  • 通讯作者: You-Guo Wang,E-mail:wangyg@njupt.edu.cn E-mail:wangyg@njupt.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No.62071248) and the Postgraduate Research Innovation Program of Jiangsu Province,China (Grant No.KYCX20 0730).

Correlation and trust mechanism-based rumor propagation model in complex social networks

Xian-Li Sun(孙先莉), You-Guo Wang(王友国), and Lin-Qing Cang(仓林青)   

  1. School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
  • Received:2021-08-05 Revised:2021-11-02 Online:2022-05-14 Published:2022-04-18
  • Contact: You-Guo Wang,E-mail:wangyg@njupt.edu.cn E-mail:wangyg@njupt.edu.cn
  • About author:2021-11-26
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No.62071248) and the Postgraduate Research Innovation Program of Jiangsu Province,China (Grant No.KYCX20 0730).

摘要: In real life, the rumor propagation is influenced by many factors. The complexity and uncertainty of human psychology make the diffusion model more challenging to depict. In order to establish a comprehensive propagation model, in this paper, we take some psychological factors into consideration to mirror rumor propagation. Firstly, we use the Ridenour model to combine the trust mechanism with the correlation mechanism and propose a modified rumor propagation model. Secondly, the mean-field equations which describe the dynamics of the modified SIR model on homogenous and heterogeneous networks are derived. Thirdly, a steady-state analysis is conducted for the spreading threshold and the final rumor size. Fourthly, we investigate rumor immunization strategies and obtain immunization thresholds. Next, simulations on different networks are carried out to verify the theoretical results and the effectiveness of the immunization strategies. The results indicate that the utilization of trust and correlation mechanisms leads to a larger final rumor size and a smaller terminal time. Moreover, different immunization strategies have disparate effectiveness in rumor propagation.

关键词: rumor propagation model, Ridenour model, immunization strategy

Abstract: In real life, the rumor propagation is influenced by many factors. The complexity and uncertainty of human psychology make the diffusion model more challenging to depict. In order to establish a comprehensive propagation model, in this paper, we take some psychological factors into consideration to mirror rumor propagation. Firstly, we use the Ridenour model to combine the trust mechanism with the correlation mechanism and propose a modified rumor propagation model. Secondly, the mean-field equations which describe the dynamics of the modified SIR model on homogenous and heterogeneous networks are derived. Thirdly, a steady-state analysis is conducted for the spreading threshold and the final rumor size. Fourthly, we investigate rumor immunization strategies and obtain immunization thresholds. Next, simulations on different networks are carried out to verify the theoretical results and the effectiveness of the immunization strategies. The results indicate that the utilization of trust and correlation mechanisms leads to a larger final rumor size and a smaller terminal time. Moreover, different immunization strategies have disparate effectiveness in rumor propagation.

Key words: rumor propagation model, Ridenour model, immunization strategy

中图分类号:  (Numerical simulation; solution of equations)

  • 02.60.Cb
89.75.-k (Complex systems) 87.23.Ge (Dynamics of social systems)