Rumor spreading considering the herd mentality mechanism
详细信息 查看官网全文
- 英文论文题名：Rumor spreading considering the herd mentality mechanism
- 论文作者：Jing Wang ; Ya-Qi Wang ; Min Li
- 英文论文作者：Jing Wang ; Ya-Qi Wang ; Min Li ; College of Primary Command ; Rocket Force University of Engineering ; Department of Electronics Technology ; Engineering University of the Chinese People’s Armed Police Force
- 年：2017
- 作者机构：College of Primary Command,Rocket Force University of Engineering;Department of Electronics Technology,Engineering University of the Chinese People’s Armed Police Force;
- 英文论文关键词：rumor propagation ; herd mentality ; homogeneous network ; critical threshold
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：C912.6;G206
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：6
- 文件大小：330k
- 原文格式：D
- 会议级别：全国
摘要
In real life, people usually have a herd mentality. This paper studies the influence of herd mentality mechanism on the dynamical behaviors of rumor spreading, and proposes a novel susceptible-infected-removed(SIR) model. Based on the mean-field theory, both the critical threshold of the homogeneous networks and the final rumor size are investigated. Theoretical analysis and numerical simulation show that the existence of herd mentality mechanism obviously reduces the network critical threshold, but increases the final rumor size. It is also found that when considering the impact of herd mentality mechanism, the propagation velocity of a rumor on the networks increases significantly, which relatively shortens the time that the rumor spreading research a steady state. In addition, we show that the network parameters can still have a greater influence on the propagation characteristics of a rumor.
In real life, people usually have a herd mentality. This paper studies the influence of herd mentality mechanism on the dynamical behaviors of rumor spreading, and proposes a novel susceptible-infected-removed(SIR) model. Based on the mean-field theory, both the critical threshold of the homogeneous networks and the final rumor size are investigated. Theoretical analysis and numerical simulation show that the existence of herd mentality mechanism obviously reduces the network critical threshold, but increases the final rumor size. It is also found that when considering the impact of herd mentality mechanism, the propagation velocity of a rumor on the networks increases significantly, which relatively shortens the time that the rumor spreading research a steady state. In addition, we show that the network parameters can still have a greater influence on the propagation characteristics of a rumor.
In real life, people usually have a herd mentality. This paper studies the influence of herd mentality mechanism on the dynamical behaviors of rumor spreading, and proposes a novel susceptible-infected-removed(SIR) model. Based on the mean-field theory, both the critical threshold of the homogeneous networks and the final rumor size are investigated. Theoretical analysis and numerical simulation show that the existence of herd mentality mechanism obviously reduces the network critical threshold, but increases the final rumor size. It is also found that when considering the impact of herd mentality mechanism, the propagation velocity of a rumor on the networks increases significantly, which relatively shortens the time that the rumor spreading research a steady state. In addition, we show that the network parameters can still have a greater influence on the propagation characteristics of a rumor.
引文
[1]M.Kosfeld,Rumours and markets,Journal of Mathematical Economics,41(6):646–664,2005.
[2]R.Bhavnani,M.G.Findley,J.H.Kuklinski,Rumor dynamics in ethnic violence,The Journal of Politics,71(3):876–892,2009.
[3]Z.He,Z.Cai,J.Yu,et al.Cost-efficient strategies for restraining rumor spreading in mobile social networks,IEEE Trans.on Vehicular Technology,66(3):2789–2800,2017.
[4]Q.Yan,H.Yao,A New Method to the Rumor Spreading,International Journal of Nonlinear Science,20(1):46–51,2015.
[5]D.J.Daley,D.G.Kendall,Stochastic rumours,IMA Journal of Applied Mathematics,1(1):42–55,1965.
[6]D.P.Maki,M.Thompson,Mathematical Models and Applications.Prentice-Hall,1973.
[7]D.H.Zanette,Dynamics of rumor propagation on small-world networks,Phys.Rev.E,65(4):041908,2002.
[8]D.J.Watts,S.H.Strogatz,Collective dynamics of‘small-world’networks,nature,393(6684):440–442,1998.
[9]Y.Moreno,M.Nekovee,A.F.Pacheco,Dynamics of rumor spreading in complex networks,Phys.Rev.E,69(6):066130,2004.
[10]A.L.Barabási,R.Albert,Emergence of scaling in random networks,science,286(5439):509–512,1999.
[11]M.Nekovee,Y.Moreno,G.Bianconi,et al.Theory of rumour spreading in complex social networks,Physica A,374(1):457–470,2007.
[12]L.Zhao,J.Wang,Y.Chen,et al.SIHR rumor spreading model in social networks,Physica A,391(7):2444–2453,2012.
[13]X.L.Wang,L.J.Zhao,Rumor Spreading Model with Skepticism Mechanism in Social Networks,Journal of University of Shanghai for Science and Technology,34(5):424 428,2012.
[14]Z.Zhao,Y.Liu,K.Wang,An analysis of rumor propagation based on propagation force,Physica A,443:263–271,2016.
[15]K.Afassinou,Analysis of the impact of education rate on the rumor spreading mechanism,Physica A,414:43–52,2014.
[16]L.Zhao,J.Yin,Y.Song,An exploration of rumor combating behavior on social media in the context of social crises,Computers in Human Behavior,58:25–36,2016.
[17]R.Fallahpour,S.Chakouvari,H.Askari,Analytical Solutions for Rumor Spreading Dynamical Model in a Social Network,Nonlinear Engineering,4(1):23–29,2015.
[18]J.Ma,D.Li,Z.Tian,Rumor spreading in online social networks by considering the bipolar social reinforcement,Physica A,447:108–115,2016.
[19]L.Sun,Y.Liu,Q.A.Zeng,et al.A novel rumor diffusion model considering the effect of truth in online social media,International Journal of Modern Physics C,26(07):1550080,2015.
[20]F.H.Allport,M.Lepkin,Wartime rumors of waste and special privilege:why some people believe them,The Journal of Abnormal and Social Psychology,40(1):3 36,1945.
[21]L.Y.Lü,D.B.Chen,T.Zhou,The small world yields the most effective information spreading,New Journal of Physics,13(12):123005,2011.
[2]R.Bhavnani,M.G.Findley,J.H.Kuklinski,Rumor dynamics in ethnic violence,The Journal of Politics,71(3):876–892,2009.
[3]Z.He,Z.Cai,J.Yu,et al.Cost-efficient strategies for restraining rumor spreading in mobile social networks,IEEE Trans.on Vehicular Technology,66(3):2789–2800,2017.
[4]Q.Yan,H.Yao,A New Method to the Rumor Spreading,International Journal of Nonlinear Science,20(1):46–51,2015.
[5]D.J.Daley,D.G.Kendall,Stochastic rumours,IMA Journal of Applied Mathematics,1(1):42–55,1965.
[6]D.P.Maki,M.Thompson,Mathematical Models and Applications.Prentice-Hall,1973.
[7]D.H.Zanette,Dynamics of rumor propagation on small-world networks,Phys.Rev.E,65(4):041908,2002.
[8]D.J.Watts,S.H.Strogatz,Collective dynamics of‘small-world’networks,nature,393(6684):440–442,1998.
[9]Y.Moreno,M.Nekovee,A.F.Pacheco,Dynamics of rumor spreading in complex networks,Phys.Rev.E,69(6):066130,2004.
[10]A.L.Barabási,R.Albert,Emergence of scaling in random networks,science,286(5439):509–512,1999.
[11]M.Nekovee,Y.Moreno,G.Bianconi,et al.Theory of rumour spreading in complex social networks,Physica A,374(1):457–470,2007.
[12]L.Zhao,J.Wang,Y.Chen,et al.SIHR rumor spreading model in social networks,Physica A,391(7):2444–2453,2012.
[13]X.L.Wang,L.J.Zhao,Rumor Spreading Model with Skepticism Mechanism in Social Networks,Journal of University of Shanghai for Science and Technology,34(5):424 428,2012.
[14]Z.Zhao,Y.Liu,K.Wang,An analysis of rumor propagation based on propagation force,Physica A,443:263–271,2016.
[15]K.Afassinou,Analysis of the impact of education rate on the rumor spreading mechanism,Physica A,414:43–52,2014.
[16]L.Zhao,J.Yin,Y.Song,An exploration of rumor combating behavior on social media in the context of social crises,Computers in Human Behavior,58:25–36,2016.
[17]R.Fallahpour,S.Chakouvari,H.Askari,Analytical Solutions for Rumor Spreading Dynamical Model in a Social Network,Nonlinear Engineering,4(1):23–29,2015.
[18]J.Ma,D.Li,Z.Tian,Rumor spreading in online social networks by considering the bipolar social reinforcement,Physica A,447:108–115,2016.
[19]L.Sun,Y.Liu,Q.A.Zeng,et al.A novel rumor diffusion model considering the effect of truth in online social media,International Journal of Modern Physics C,26(07):1550080,2015.
[20]F.H.Allport,M.Lepkin,Wartime rumors of waste and special privilege:why some people believe them,The Journal of Abnormal and Social Psychology,40(1):3 36,1945.
[21]L.Y.Lü,D.B.Chen,T.Zhou,The small world yields the most effective information spreading,New Journal of Physics,13(12):123005,2011.