Abstract:In this paper, the internet users on social network based on the dynamics model theory, are divided into four major categories: Unreceived users, Received users, Rumor Believe users and Rumor Deny users. We research the propagation regulations of network rumors based on the mean field theory, and then propose a new model, which applies to rumor spreading of online social network. According to the analysis of the dynamics of the model and numerical simulation experiments, the research results obtain the regulations of network rumor propagation, indicate what kind of measures should be taken in corresponding states, and demonstrate how to quiet down quickly the spread of rumor by controlling some specific factors.
吴晓, 刘万平, 杨武, 卢玲, 刘小洋, 黄诗雯. 新型社交网络谣言传播演化模型研究[J]. 复杂系统与复杂性科学, 2018, 15(2): 34-44.
WU Xiao, LIU Wanping, YANG Wu, LU Ling, LIU Xiaoyang, HUANG Shiwen. Research on Novel Evolution Model of Rumor Propagation on Social Network. Complex Systems and Complexity Science, 2018, 15(2): 34-44.
[1]巢乃鹏, 黄娴. 网络传播中的"谣言"现象研究[J]. 情报理论与实践, 2004, 27(6): 586-589. Chao Naipeng, Huang Xian. Research on “rumors” phenomenon in internet communication [J].Information Studies: Theory & Application, 2004, 27(6): 586-589. [2]Beretta E, Takeuchi Y. Global stability of an SIR epidemic model with time delays [J]. Journal of Mathematical Biology, 1995, 33(3): 250. [3]Daley D J, Kendall D G. Stochastic Rumours [J]. Ima Journal of Applied Mathematics, 1965, 1(1): 42-55. [4]薛一波, 鲍媛媛, 易成岐. SPNR:社交网络中的新型谣言传播模型[J]. 信息网络安全, 2014, (1):5-9. Xu Yibo, Bao Yuanyuan, Yi Chengqi. SPNR: A novel rumor propagation model on social networks [J]. Netinfo Security, 2014, (1): 5-9. [5]范纯龙, 宋会敏, 丁国辉. 一种改进的SEIR网络谣言传播模型研究[J]. 情报杂志, 2017, 36(3):86-91. Fan Chunlong, Song Huimin, Ding Guohui. Research on an improved SEIR network rumor propagation model [J]. Journal of Intelligence, 2017, 36(3): 86-91. [6]李仕争, 丁菊玲, 蒋鹏,等. 移动社交网络谣言演化的系统动力学模型与仿真[J]. 情报杂志, 2016, 35(9):117-123. Li Shizheng, Ding Juling, Jiang Peng, et al. System dynamics model and simulation of internet rumors for mobile social network [J]. Journal of Intelligence, 2016, 35(9): 117-123. [7]王辉, 韩江洪, 邓林, 等. 基于移动社交网络的谣言传播动力学研究[J]. 物理学报,2013,62(11):106-117. Wang Hui, Han Jianghong, Deng Lin, et al. Dynamics of rumor spreading in mobile social networks [J]. Acta Physica Sinica, 2013, 62(11): 106-117. [8]刘咏梅, 彭琳, 赵振军. 基于小世界网络的微博谣言传播演进研究[J]. 复杂系统与复杂性科学,2014,11(04):54-60. Liu Yongmei, Peng Lin, Zhao Zhenjun. The evolution of rumor spread on micrblog based on small-world network [J]. Complex Systems and Complexity Science, 2014, 11(04): 54-60. [9]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+96. 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+96. [10] 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 rumors in online social network [J]. Acta Physica Sinica, 2012, 61(23): 544-550. [11] Xiao Renbin, Yu Tongyang. A multi-agent simulation approach to rumor spread in virtual commnunity based on social network [J]. Intelligent Automation & Soft Computing, 2011, 17(7): 859-869. [12] Zan Yongli, Wu Jianliang, Li Ping, et al. SICR rumor spreading model in complex networks: counterattack and self-resistance [J]. Physica A Statistical Mechanics & Its Applications, 2014, (405): 159-170. [13] Zhou Jie, Liu Zonghua, Li Baowen. Influence of network structure on rumor propagation [J]. Physics Letters A, 2007, 368(6): 458-463. [14] Liu Wanping, Liu Chao, Yang Zheng, et al. Modeling the propagation of mobile malware on complex networks [J]. Communications in Nonlinear Science & Numerical Simulation, 2016, 37: 249-264. [15] Liu Wanping, Liu Chao, Liu Xiaoyang, et al. Modeling the spread of malware with the influence of heterogeneous immunization [J]. Applied Mathematical Modelling, 2016, 40(4): 3141-3152. [16] Liu Wanping, Zhong Shouming. Web malware spread modelling and optimal control strategies [J]. Scientific Reports, 2017, 7: 42308. [17] Liu Wanping, Zhong Shouming. Modeling and analyzing the dynamic spreading of epidemic malware by a network eigenvalue method [J]. Applied Mathematical Modelling, 2018, 63: 491-507. [18] Zhao Laijun, Wang Qin, Cheng Jingjing, et al. Rumor spreading model with consideration of forgetting mechanism: a case of online blogging Live Journal [J]. Physica A Statistical Mechanics & Its Applications, 2011, 390(13): 2619-2625. [19] Zhao Laijun, Wang Jiajia, Chen Yucheng, et al. SIHR rumor spreading model in social networks [J]. Physica A Statistical Mechanics & Its Applications, 2012, 391(7): 2444-2453. [20] Li Weihua, Tang Shaoting, Pei Sen, et al. The rumor diffusion process with emerging independent spreaders in complex networks [J]. Physica A Statistical Mechanics & Its Applications, 2014, 397(3): 121-128. [21] He Zaobao, Cai Zhipeng, Yu Jiguo, et al. Cost-efficient strategies for restraining rumor spreading in mobile social networks [J]. IEEE Transactions on Vehicular Technology, 2017, PP(99): 1-1. [22] Kwon S, Cha M, Jung K. Rumor detection over varying time windows [J]. Plos One, 2017, 12(1): e0168344. [23] Fanti G, Kairouz P, Oh S, et al. Hiding the rumor source [J]. IEEE Transactions on Information Theory, 2015, 63(10): 6679-6713. [24] Zhu Linhe, Zhao Hongyong, Wang Haiyan. Complex dynamic behavior of a rumor propagation model with spatial-temporal diffusion terms [J]. Information Sciences, 2016, 349-350: 119-136. [25] van den Driessche P, Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission [J]. Mathematical Biosciences, 2002, 180(1/2): 29-48. [26] Robinson R C. An Introduction to Dynamical Systems: Continuous and Discrete[M]. American Mathematical Society, 2012: 652.