Abstract：A rumor spreading model for the web forum based on the heterogeneity of web forum user behaviors and SEIR model is proposed in this paper. First, according to the mean-field equations of the model on inhomogeneous networks, the critical threshold of the spreading of rumor is deduced, the result of theoretical analysis shows that the increase in trust mechanism between users can effectively inhibit the rumor spread in the network with limited velocity of propagation; Then the simulation and numerical analysis of the model itself and the influences of trust mechanism to the model is given, which verify the validity of the model and the introduction of trust mechanism can effectively reduce the rumor influence, the velocity of rumor spreading and the rumor size; Finally, combined with the previous conclusions and the high-influence limited trust relationships between web forum users, a high-influence immunization strategy is given. The experimental results show that the strategy able to reach better effect than traditional immunization strategy.
徐会杰, 蔡皖东, 陈桂茸. 面向网络论坛的谣言传播与抑制研究[J]. 复杂系统与复杂性科学, 2016, 13(2): 83-89.
XU Huijie, CAI Wandong, CHEN Guirong. Research on Web Forum Oriented Rumors Spreading and Inhibitions[J]. Complex Systems and Complexity Science, 2016, 13(2): 83-89.
[1] 霍良安. 突发事件发生后不实信息的传播问题研究[D].上海:上海交通大学, 2012. Huo Liangan. Research on the spread of unconfirmed information after the emergency occurs[D].Shanghai:Shanghai Jiao Tong University, 2012. [2] 王辉. 在线社交网络上谣言传播关键问题研究[D].合肥:合肥工业大学, 2013. Wang Hui. Rumor propagation in online social networks[D].Hefei: Hefei University of Technology,2013. [3] 刘瑞生.年终盘点:微传播时代的网络谣言特征与应对策略[EB/OL].[2013-12-30].http://society.people.com.cn/n/2013/1230/c229589-23976960.html. [4] Zanette D H. Dynamics of rumor propagation on small world networks[J].Physical Review E, 2002, 65(4): 041908. [5] Nekovee M, Moreno Y, Bianconi G. Theory of rumor spreading in complex social networks[J].Physcia A,2007, 374(8): 457-470. [6] Zhou J, Liu Z, Li B W. Influence of network structure on rumor propagation[J].Physical Letters A, 2007,368(6): 458-463. [7] Kesten H, Sidoravicius V. The spreading of a rumor or infection in a moving population[J].Annals of Probability, 2005,33(6): 2402-2462. [8] 潘灶烽, 汪小帆, 李翔. 可变聚类系数无标度网络上的谣言传播仿真研究[J].系统仿真学报,2006,18(8): 2346-2348. Pan Zaofeng, Wang Xiaofan, Li Xiang. Simulation investigation on rumor spreading on scale-free network with tunable clustering[J].Journal of System Simulation, 2006, 18(8): 2346-2348. [9] 刘常昱, 胡晓峰, 司光亚, 等. 舆论涌现模型研究[J].复杂系统与复杂性科学, 2007,4(1): 4-27. Liu Changyu, Hu Xiaofeng, Si Guangya, et al. Study on the consensus emergency model[J].Complex Systems and Complexity Science, 2007,4(1): 4-27. [10] 朱恒民, 刘凯, 卢子芳. 媒体作用下互联网舆情话题传播模型研究[J].现代图书情报技术, 2013, 29(3): 45-50. Zhu Hengmin, Liu Kai, Lu Zifang. Study on topic propagation model of internet public opinion under the influence of the media[J].New Technology of Library and Information Service, 2013, 29(3): 45-50. [11] Wang Y Q, Yang X Y, Han Y L, et al. Rumor spreading model with trust mechanism in complex social networks[J].Commun Theor Phys, 2013, 59(4): 510-516. [12] 顾亦然, 夏玲玲. 在线社交网络中谣言的传播与抑制[J].物理学报, 2012, 61(23): 544-550. Gu Yiran, Xia Lingling. The propagation and inhibition of online social network[J].Chinese Journal of Physics, 2012, 61(23): 544-550. [13] Aron J L, Schwartz I B. Seasonality and period-doubling bifurcations in an epidemic model[J].Journal of Theoretical Biology, 1984, 110(4): 665-679. [14] 司夏萌, 刘云. 虚拟社区中人际交互行为的统计分析研究[J].物理学报, 2011, 60(7): 859-866. Si Xiameng, Liu Yun. Empirical analysisof interpersonal interacting behavior invirtual community[J].Chinese Journal of Physics, 2011, 60(7): 859-866. [15] 陈桂茸, 蔡皖东, 徐会杰, 等. 网络舆论演化的高影响力优先有限信任模型[J].上海交通大学学报, 2013, 47(1): 155-160. Chen Guirong, Cai Wandong, Xu Huijie, et al. High-effect priority bounded confidence model for network opinion evolution[J].Journal of ShangHai Jiao Tong University, 2013, 47(1): 155-160. [16] Xiong F, Liu Y. Empirical analysis and modeling of users′ topic interests in online forums[J].PloS One, 2012, 7(12): e50912. [17] Yu J, Hu Y, Yu M, et al. Analyzing netizens’ view and reply behaviors on the forum[J].Physica A: Statistical Mechanics and its Applications, 2010, 389(16): 3267-3273. [18] Ding F, Liu Y, Shen B, et al. An evolutionary game theory model of binary opinion formation[J].Physica A: Statistical Mechanics and its Applications, 2010, 389(8): 1745-1752. [19] Takeuchi Y, Ma W, Beretta E. Global asymptotic properties of a delay SIR epidemic model with finite incubation times[J].Nonlinear Analysis: Theory, Methods & Applications, 2000, 42(6): 931-947. [20] 徐会杰, 蔡皖东, 王剑平, 等. 基于时间变化图的网络论坛意见领袖识别算法[J].计算机科学, 2012, 39(8): 51-54. Xu huijie, Cai Wandong, Wang Jianping, et al. Identifying algorithm for opinion leaders of forums based on time-varying graphs[J].Computer Science, 2012, 39(8): 51-54.
