带有反对机制的谣言传播模型
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摘要
一个从未听过谣言的人,听到谣言之后,或者继续传播这个谣言,或者不理睬保持沉默,同时也有可能反对这个谣言,基于此构建了带有反对者的谣言传播模型——SICR谣言传播模型.并且在SICR谣言传播模型的基础上,运用了概率生成函数的方法,来解决谣言传播过程中任意时刻的传播规模等问题.
Rumor is a major way of transmitting information in social life. When a person who has never heard of a rumor has now heard of one,he/she may continue to spread the rumor or ignore it in silence or acts as an opponent. In view of this case,this paper has built a rumor-spreading model with a rejection mechanism: SICR rumor-spreading model. Based on this model,the paper uses the probability generating function to solve such problems as the rumor-spreading impacts.
Rumor is a major way of transmitting information in social life. When a person who has never heard of a rumor has now heard of one,he/she may continue to spread the rumor or ignore it in silence or acts as an opponent. In view of this case,this paper has built a rumor-spreading model with a rejection mechanism: SICR rumor-spreading model. Based on this model,the paper uses the probability generating function to solve such problems as the rumor-spreading impacts.
引文
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[3]KOSFELD M.Rumours and markets[J].Journal of Mathematical Economics,2005,41(6):646-664.
[4]ZHANG Z,ZHANG Z.An interplay model for rumour spreading and emergency development[J].Physica A:Statistical Mechanics and its Applications,2009,388(19):4159-4166.
[5]RUAN Z,TANG M,LIU Z.Epidemic spreading with information-driven vaccination[J].Physical Review E,2012,86(3):036117.
[6]SUDBURY A.The proportion of the population never hearing a rumour[J].Journal of applied probability,1985,22(2):443-446.
[7]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.
[8]靳祯,孙桂全,刘茂省.网络传染病动力学建模与分析[M].北京:科学出版社,2014.
[9]昝永利.复杂网络中的反击谣言模型与多谣言传播动力学研究[D].济南:山东大学,2015.
[2]PETERSON W A,GIST N P.Rumor and public opinion[J].American Journal of Sociology,1951,57(2):159-167.
[3]KOSFELD M.Rumours and markets[J].Journal of Mathematical Economics,2005,41(6):646-664.
[4]ZHANG Z,ZHANG Z.An interplay model for rumour spreading and emergency development[J].Physica A:Statistical Mechanics and its Applications,2009,388(19):4159-4166.
[5]RUAN Z,TANG M,LIU Z.Epidemic spreading with information-driven vaccination[J].Physical Review E,2012,86(3):036117.
[6]SUDBURY A.The proportion of the population never hearing a rumour[J].Journal of applied probability,1985,22(2):443-446.
[7]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.
[8]靳祯,孙桂全,刘茂省.网络传染病动力学建模与分析[M].北京:科学出版社,2014.
[9]昝永利.复杂网络中的反击谣言模型与多谣言传播动力学研究[D].济南:山东大学,2015.