Journal of Computer Applications ›› 2024, Vol. 44 ›› Issue (2): 619-627.DOI: 10.11772/j.issn.1001-9081.2023020154

• Frontier and comprehensive applications • Previous Articles    

Opinion propagation model considering user initiative and mobility

Yuanyuan MA1,2(), Leilei XIE1,3, Nan DONG1,3, Na LIU1,3   

  1. 1.College of Business Administration,Northeastern University,Shenyang Liaoning 110819,China
    2.College of Economics,Northeastern University at Qinhuangdao,Qinhuangdao Hebei 066004,China
    3.College of Management,Northeastern University at Qinhuangdao,Qinhuangdao Hebei 066004,China
  • Received:2023-02-21 Revised:2023-05-09 Accepted:2023-05-15 Online:2023-08-14 Published:2024-02-10
  • Contact: Yuanyuan MA
  • About author:XIE Leilei, born in 1998, M. S. candidate. Her research interests include online opinion propagation, data mining.
    DONG Nan, born in 1997, M. S. candidate. His research interests include biomathematics, time delay differential equations.
    LIU Na, born in 1998, M. S. candidate. Her research interests include epidemic dynamics.
  • Supported by:
    National Natural Science Foundation of China(71701036);Fundamental Research Funds for Central Universities(N2123022)


马源源1,2(), 解蕾蕾1,3, 董南1,3, 刘娜1,3   

  1. 1.东北大学 工商管理学院,沈阳 110819
    2.东北大学秦皇岛分校 经济学院,河北 秦皇岛 066004
    3.东北大学秦皇岛分校 管理学院,河北 秦皇岛 066004
  • 通讯作者: 马源源
  • 作者简介:解蕾蕾(1998—),女,山西吕梁人,硕士研究生,主要研究方向:网络舆情传播、数据挖掘
  • 基金资助:


To address the issue of existing information diffusion models overlooking user subjectivity and social network dynamics, an SCBRD (Susceptible-Commented-Believed-Recovered-Defensed) opinion propagation model that considers user initiative and mobility in heterogeneous networks was proposed.Firstly, the basic reproduction number was determined using the next-generation matrix method, and the system’s dynamics and optimal control were investigated by applying Lyapunov’s stability theorem and Pontryagin’s principle. Then, a simulation analysis was performed based on BA (Barabási-Albert) scale-free network to identify the significant factors affecting the opinion propagation. The results reveal that users’ curiosity, forwarding behavior, and admission rate play dominant roles in information diffusion and the system has an optimal control solution. Finally, the model’s rationality was validated based on actual data. Compared to the SCIR (Susceptible-inCubation-Infective-Refractory) model, the SCBRD model improves fitting accuracy by 27.40% and reduces the Root Mean Square Error (RMSE) of prediction by 39.02%. Therefore, the proposed model can adapt to the complex and changing circumstances of information diffusion and provide better guidance for official public opinion regulation.

Key words: opinion propagation model, mean-field equation, optimal control, Sina Weibo, parameter estimation



关键词: 舆情传播模型, 平均场方程, 最优控制, 新浪微博, 参数估计

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