融入双重社会强化的在线社交网络谣言传播研究
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摘要
谣言传播是复杂网络传播动力学研究的重要课题.分析正负双重社会强化机制对用户传播行为的影响,并根据不同网络度分布的差异,构建了同质网络与异质网络谣言传播动力学模型,进而分析谣言传播阈值及最终扩散规模.数值仿真结果表明,在线社交网络谣言传播阈值很小,谣言一旦产生极易传播;正负双重社会强化机制同时影响谣言最终传播规模;加大负向社会强化效用,有助于缩小谣言传播的最终扩散范围,削弱谣言产生的最大影响,同时还可以减缓谣言传播速度,为有关部门采取措施控制谣言传播提供更充裕的时间.研究结果告诫政府有关部门,只有下大力度加大负向社会强化效用,才能有效控制谣言传播,维护国家安全与社会稳定.
The research of rumor spreading has become an important topic of spreading dynamics on complex networks.This paper analyses the effect of positive and negative double social reinforcement mechanism on the individual propagation behaviour,proposes rumor spreading models on both homogeneous and heterogeneous networks,and investigates the spreading threshold and the final rumor size.The simulation results showthat the critical threshold is quite small.Both the positive social reinforcement and the negative social reinforcement will affect the final rumor size jointly.The increase of negative social reinforcement can effectively increase the spreading threshold and reduce the final rumor size as well as the maximum rumor influence.Besides,the increase of negative social reinforcement can also provide much more time for government to control rumor spreading by slowing down the spreading velocity.These obtained findings warn us that we should spare no effort to strengthen the negative social reinforcement to control rumor spreading and maintain social stability.
The research of rumor spreading has become an important topic of spreading dynamics on complex networks.This paper analyses the effect of positive and negative double social reinforcement mechanism on the individual propagation behaviour,proposes rumor spreading models on both homogeneous and heterogeneous networks,and investigates the spreading threshold and the final rumor size.The simulation results showthat the critical threshold is quite small.Both the positive social reinforcement and the negative social reinforcement will affect the final rumor size jointly.The increase of negative social reinforcement can effectively increase the spreading threshold and reduce the final rumor size as well as the maximum rumor influence.Besides,the increase of negative social reinforcement can also provide much more time for government to control rumor spreading by slowing down the spreading velocity.These obtained findings warn us that we should spare no effort to strengthen the negative social reinforcement to control rumor spreading and maintain social stability.
引文
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[20]Zhao L,Wang Q,Cheng J,et al.Rumor spreading model with consideration of forgetting mechanism:A case of online blogging Live Journal[J].Physica A:Statistical Mechanics and its Applications,2011,390(13):2619-2625.
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[22]Zhao L,Qiu X,Wang X,et al.Rumor spreading model considering forgetting and remembering mechanisms in inhomogeneous networks[J].Physica A:Statistical Mechanics and its Applications,2013,392(4):987-994.
[23]Wang Y,Yang X,Han Y,et al.Rumor spreading model with trust mechanism in complex social networks[J].Communications in Theoretical Physics(Commun Theor Phys),2013,59(4):510-516.
[24]Zhang Shao-wu,Lin Hong-fei,Liu Xiao-xia,et al.Trust propagation based on probability[J].Computer Science,2014,41(8):90-93+114.
[25]Wang Chao,Liu Cheng-yuan,Hu Yuan-ping,et al.Stability of information spreading over social network[J].Acta Physica Sinica(Acta Phys Sin),2014,63(18):180501(1-7).
[26]Zan Y,Wu J,Li P,et al.SICR rumor spreading model in complex networks:Counterattack and self-resistance[J].Physica A:Statistical Mechanics and its Applications,2014,405:159-170.
[27]Xia L L,Jiang G P,Song B,et al.Rumor spreading model considering hesitating mechanism in complex social networks[J].Physica A:Statistical Mechanics and its Applications,2015,437:295-303.
[28]Karrer B,Newman ME J.Message passing approach for general epidemic models[J].Physical ReviewE(Phys Rev E),2010,82(1):016101.
[29]Liu C,Zhan X X,Zhang Z K,et al.Howevents determine spreading patterns:information transmission via internal and external influences on social networks[J].NewJournal of Physics(NewJ Phys),2015,17(11):113045.
[30]Centola D.The spread of behavior in an online social network experiment[J].Science,2010,329(5996):1194-1197.
[31]LüL,Chen D B,Zhou T.The small world yields the most effective information spreading[J].NewJournal of Physics(NewJ Phys),2011,13(12):123005.
[32]Zheng M,LüL,Zhao M.Spreading in online social networks:The role of social reinforcement[J].Physical ReviewE(Phys Rev E),2013,88(1):012818.
[33]Wang Hui,Han Jiang-hong,Deng Lin,et al.Dynamics of rumor spreading in mobile social networks[J].Acta Physica Sinica(Acta Phys Sin),2013,62(11):110505(1-12).
[34]Liao Lie-fa,Meng Xiang-mao,Wu Xiao-yan,et al.Research of CASR rumor propagation model on wechat social network[J].Journal of Chinese Computer Systems,2016,37(1):110-113.
[35]Afassinou K.Analysis of the impact of education rate on the rumor spreading mechanism[J].Physica A:Statistical Mechanics and its Applications,2014,414:43-52.
[36]Kan Jia-qian,Xie Jia-rong,Zhang Hai-feng.Impacts of social reinforcement and edge weight on the spreading of information in networks[J].Journal of University of Electronic Science and Technology of China,2014,43(1):21-25.
[3]朱湘,贾焰,聂原平,等.基于微博的事件传播分析[J].计算机研究与发展,2015,52(2):437-444.
[4]张芳,司光亚,罗批.谣言传播模型研究综述[J].复杂系统与复杂性科学,2009,6(4):1-11.
[12]张彦超,刘云,张海峰,等.基于在线社交网络的信息传播模型[J].物理学报,2011,60(5):050501(1-7).
[17]张亚明,唐朝生,李伟钢.在线社交网络谣言传播兴趣衰减与社会强化机制研究[J].情报学报,2015,34(8):833-844.
[21]王彦本,蔡皖东.社交网络中考虑遗忘机制的谣言传播[J].西北工业大学学报,2016,34(2):349-355.
[24]张绍武,林鸿飞,刘晓霞,等.基于概率的信任传播模型[J].计算机科学,2014,41(8):90-93+114.
[25]王超,刘骋远,胡元萍,等.社交网络中信息传播的稳定性研究[J].物理学报,2014,63(18):180501(1-7).
[33]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):110505(1-12).
[34]廖列法,孟祥茂,吴晓燕,等.微信社交网络上CASR谣言传播模型研究[J].小型微型计算机系统,2016,37(1):110-113.
[36]阚佳倩,谢家荣,张海峰.社会强化效应及连边权重对网络信息传播的影响分析[J].电子科技大学学报,2014,43(1):21-25.
[2]Einwiller S A,Kamins MA.Rumor Has It:The moderating effect of Identification on rumor impact and the effectiveness of rumor refutation1[J].Journal of Applied Social Psychology(J Appl Soc Psychol),2008,38(9):2248-2272.
[3]Zhu Xiang,Jia Yan,Nie Yuan-ping,et al.Event propagation analysis on microblog[J].Journal of Computer Research and Development,2015,52(2):437-444.
[4]Zhang Fang,Si Guang-ya,Luo Pi.A survey for rumor propagation models[J].Complex Systems and Complexity Science,2009,6(4):1-11.
[5]Wang W,Tang M,Zhang H F,et al.Epidemic spreading on complex networks with general degree and weight distributions[J].Physical ReviewE(Phys Rev E),2014,90(4):042803.
[6]Daley D J,Kendall D G.Stochastic rumours[J].IMA Journal of Applied Mathematics(IMA J Appl Math),1965,1(1):42-55.
[7]Maki D P,Thompson M.Mathematical models and applications[M].Prentice-Hall,1973.
[8]Sudbury A.The proportion of the population never hearing a rumour[J].Journal of Applied Probability(J Appl Probab),1985,22(2):443-446.
[9]Zanette D H.Dynamics of rumor propagation on small-world networks[J].Physical ReviewE(Phys Rev E),2002,65(4):041908.
[10]Moreno Y,Nekovee M,Pacheco A F.Dynamics of rumor spreading in complex networks[J].Physical ReviewE(Phys Rev E),2004,69(6):066130.
[11]Nekovee M,Moreno Y,Bianconi G,et al.Theory of rumour spreading in complex social networks[J].Physica A:Statistical Mechanics and its Applications,2007,374(1):457-470.
[12]Zhang Yan-chao,Liu Yun,Zhang Hai-feng,et al.The research of information dissemination model on online social network[J].Acta Physica Sinica(Acta Phys Sin),2011,60(5):050501(1-7).
[13]Kawachi K,Seki M,Yoshida H,et al.A rumor transmission model with various contact interactions[J].Journal of Theoretical Biology(J Theor Biol),2008,253(1):55-60.
[14]Hill A L,Rand D G,Nowak MA,et al.Infectious disease modeling of social contagion in networks[J].PLo S Computational Biology(PLo S Comput Biol),2010,6(11):e1000968.
[15]Wang W,Tang M,Shu P,et al.Dynamics of social contagions with heterogeneous adoption thresholds:crossover phenomena in phase transition[J].NewJournal of Physics(NewJ Phys),2016,18(1):013029.
[16]Zhang Z K,Liu C,Zhan X X,et al.Dynamics of information diffusion and its applications on complex networks[J].Physics Reports(Phys Rep),2016,651:1-34.
[17]Zhang Ya-ming,Tang Chao-sheng,Li Wei-gang.Research on internet attenuation and social reinforcement mechanism for rumor spreading in online social networks[J].Journal of the China Society for Scientific and Technical Information,2015,34(8):833-844.
[18]House T.Modelling behavioural contagion[J].Journal of The Royal Society Interface(J R Soc Interface),2011,8(59):909-912.
[19]Romero D M,Meeder B,Kleinberg J.Differences in the mechanics of information diffusion across topics:idioms,political hashtags,and complex contagion on twitter[C].Proceedings of the 20th International Conference on World wide web.ACM,2011:695-704.
[20]Zhao L,Wang Q,Cheng J,et al.Rumor spreading model with consideration of forgetting mechanism:A case of online blogging Live Journal[J].Physica A:Statistical Mechanics and its Applications,2011,390(13):2619-2625.
[21]Wang Yan-ben,Cai Wan-dong.Researching rumor spreading with forgetting mechanism considered in social networking[J].Journal of Northwestern Polytechnical University,2016,34(2):349-355.
[22]Zhao L,Qiu X,Wang X,et al.Rumor spreading model considering forgetting and remembering mechanisms in inhomogeneous networks[J].Physica A:Statistical Mechanics and its Applications,2013,392(4):987-994.
[23]Wang Y,Yang X,Han Y,et al.Rumor spreading model with trust mechanism in complex social networks[J].Communications in Theoretical Physics(Commun Theor Phys),2013,59(4):510-516.
[24]Zhang Shao-wu,Lin Hong-fei,Liu Xiao-xia,et al.Trust propagation based on probability[J].Computer Science,2014,41(8):90-93+114.
[25]Wang Chao,Liu Cheng-yuan,Hu Yuan-ping,et al.Stability of information spreading over social network[J].Acta Physica Sinica(Acta Phys Sin),2014,63(18):180501(1-7).
[26]Zan Y,Wu J,Li P,et al.SICR rumor spreading model in complex networks:Counterattack and self-resistance[J].Physica A:Statistical Mechanics and its Applications,2014,405:159-170.
[27]Xia L L,Jiang G P,Song B,et al.Rumor spreading model considering hesitating mechanism in complex social networks[J].Physica A:Statistical Mechanics and its Applications,2015,437:295-303.
[28]Karrer B,Newman ME J.Message passing approach for general epidemic models[J].Physical ReviewE(Phys Rev E),2010,82(1):016101.
[29]Liu C,Zhan X X,Zhang Z K,et al.Howevents determine spreading patterns:information transmission via internal and external influences on social networks[J].NewJournal of Physics(NewJ Phys),2015,17(11):113045.
[30]Centola D.The spread of behavior in an online social network experiment[J].Science,2010,329(5996):1194-1197.
[31]LüL,Chen D B,Zhou T.The small world yields the most effective information spreading[J].NewJournal of Physics(NewJ Phys),2011,13(12):123005.
[32]Zheng M,LüL,Zhao M.Spreading in online social networks:The role of social reinforcement[J].Physical ReviewE(Phys Rev E),2013,88(1):012818.
[33]Wang Hui,Han Jiang-hong,Deng Lin,et al.Dynamics of rumor spreading in mobile social networks[J].Acta Physica Sinica(Acta Phys Sin),2013,62(11):110505(1-12).
[34]Liao Lie-fa,Meng Xiang-mao,Wu Xiao-yan,et al.Research of CASR rumor propagation model on wechat social network[J].Journal of Chinese Computer Systems,2016,37(1):110-113.
[35]Afassinou K.Analysis of the impact of education rate on the rumor spreading mechanism[J].Physica A:Statistical Mechanics and its Applications,2014,414:43-52.
[36]Kan Jia-qian,Xie Jia-rong,Zhang Hai-feng.Impacts of social reinforcement and edge weight on the spreading of information in networks[J].Journal of University of Electronic Science and Technology of China,2014,43(1):21-25.
[3]朱湘,贾焰,聂原平,等.基于微博的事件传播分析[J].计算机研究与发展,2015,52(2):437-444.
[4]张芳,司光亚,罗批.谣言传播模型研究综述[J].复杂系统与复杂性科学,2009,6(4):1-11.
[12]张彦超,刘云,张海峰,等.基于在线社交网络的信息传播模型[J].物理学报,2011,60(5):050501(1-7).
[17]张亚明,唐朝生,李伟钢.在线社交网络谣言传播兴趣衰减与社会强化机制研究[J].情报学报,2015,34(8):833-844.
[21]王彦本,蔡皖东.社交网络中考虑遗忘机制的谣言传播[J].西北工业大学学报,2016,34(2):349-355.
[24]张绍武,林鸿飞,刘晓霞,等.基于概率的信任传播模型[J].计算机科学,2014,41(8):90-93+114.
[25]王超,刘骋远,胡元萍,等.社交网络中信息传播的稳定性研究[J].物理学报,2014,63(18):180501(1-7).
[33]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):110505(1-12).
[34]廖列法,孟祥茂,吴晓燕,等.微信社交网络上CASR谣言传播模型研究[J].小型微型计算机系统,2016,37(1):110-113.
[36]阚佳倩,谢家荣,张海峰.社会强化效应及连边权重对网络信息传播的影响分析[J].电子科技大学学报,2014,43(1):21-25.