| 摘 要: 部分现代移动社交网络平台中存在的群组,既能促进有效信息的迅速传播,也可能成为谣言快速扩散的渠道。为此,提出了考虑群组传播的SICR谣言传播模型。该模型结合了群组传播机制,并引入辟谣者角色,模拟其通过发布准确信息来抑制谣言传播的作用。首先,模型基于微分动力学方法和下一代矩阵理论,分析了考虑群组传播的SICR谣言传播模型在同质和异质网络上的无谣言平衡点及基本再生数,并通过 Routh-Hurwitz准则证明了无谣言平衡点处的局部渐近稳定性;其次,采用龙格-库塔法对模型进行了数值仿真;最后,通过蒙特卡洛模拟在人工网络和真实社交网络中对所提模型进行仿真实验,分析了不同参数及网络拓扑结构对谣言传播的影响。结果表明,群组规模越大,初始传播节点数越多,传播节点的峰值密度越高,谣言传播速度越快。遗忘率越高,辟谣干预力度越强,越能抑制谣言扩散。 |
| 关键词: 复杂社交网络 群组传播 SICR谣言传播 蒙特卡洛模拟 |
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中图分类号: TP391
文献标识码: A
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| 基金项目: 国家自然科学基金项目资助(62071248) |
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| SICR Rumor Propagation Model with Group Communication Effects |
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HANG Shihao, WANG Youguo
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(College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China)
813195973@qq.com; wangyg@njupt.edu.cn
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| Abstract: Groups existing in some modern mobile social networking platforms can both facilitate the rapid dissemination of effective information and serve as channels for the fast spread of rumors. To address this, this study proposes an SICR rumor propagation model that incorporates group propagation mechanisms and introduces fac-t checkers to simulate their role in curbing rumor spread by publishing accurate information. First, using differential dynamics and nex-t generation matrix theory, the rumo-r free equilibrium and basic reproduction number of the SICR rumor propagation model considering group propagation in homogeneous and heterogeneous networks are analyzed.The local asymptotic stability at the rumo-r free equilibrium is demonstrated using the Routh-Hurwitz criterion. Second,numerical simulations of the model are conducted using the Runge-Kutta method. Finally, Monte Carlo simulations are performed on artificial networks and real social networks to simulate the model considering group propagation,
analyzing the impact of different parameters and network topologies on rumor propagation. The results indicate that larger group sizes and a higher number of initial propagation nodes lead to higher peak densities of propagation nodes and faster rumor spread. Higher forgetting rates and stronger fac-t checking interventions are more effective in curbing rumor propagation. |
| Keywords: complex social network group propagation SICR rumor propagation Monte Carlo simulation |
