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根据真实在线社交网络中谣言的传播特点以及有疾病潜伏期的传染病模型, 提出一个新的基于在线社交网络的谣言传播SEIR模型.首先建立基于SEIR模型的动力学演化方程组, 然后给出一个高效的抑制谣言传播的免疫策略—-重要熟人免疫策略. 最后在真实在线社交网络Facebook的用户数据集上,结合SEIR模型与动力学演化方程组以及包含重要熟人免疫策略在内的多种免疫策略,对免疫前后谣言传播的演化过程进行计算机仿真. 仿真结果表明SEIR模型符合真实在线社交网络的传播特性,且重要熟人免疫策略是解决在线社交网路中谣言抑制问题的最佳方案.In this paper, a new rumor spreading SEIR model is proposed with considering both the spreading characteristics of rumors in the real online social network and the epidemic dynamics models with latency. First, the dynamical evolution equations based on the SEIR model are established. Then an efficient immunization strategy—important acquaintance immunization strategy, is given for the inhibition of rumor spreading. Finally, based on the user datasets of Facebook, the SEIR model and its dynamical evolution equations with various immunization strategies including important acquaintance immunization strategy are utilized in the computer simulation for the evolution process of rumor spreading before and after immunization. Simulation results show that SEIR model conforms to propagation characteristics of the real online social network, and the important acquaintance immunization strategy is an optimal scheme to solve the inhibition of rumor spreading in the online social network.
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Keywords:
- online social network /
- rumor spreading /
- SEIR model /
- important acquaintance immunization strategy
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[11] Tan Y J, Wu J, Deng H Z 2006 Systems Engineering-Theory and Practice 26 79 (in Chinese) [谭跃进, 吴俊, 邓宏钟 2006 系统工程理论与实践 26 79]
[12] Zhu T, Zhang S P, Guo R X, Chang G C 2009 Journal of Systems Engineering and Electronics 31 1902 (in Chinese) [朱涛, 张水平, 郭戎潇, 常国岑 2009 系统工程与电子技术 31 1902]
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[14] Newman M E J, Watts D J 1999 Phys. Lett. A 263 341
[15] Barabasi A L, Albert R 1999 Science 286 509
[16] Qian D Q, Zhang X D 2010 Journal of Hefei University of Technology (Natural Science) 33 1264 (in Chinese) [钱大千, 张晓东 2010 合肥工业大学学报(自然科学版) 33 1264]
[17] Newman M E J 2002 Phys. Rev. Lett. 89 208701
[18] Newman M E J, Park J 2003 Phys. Rev. E 68 036122
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[1] Rasnow R 1988 J. Communication 38 1
[2] Kapferer J N (Translated by Zheng R L, Bian Q) 1991 Rumeurs (Shanghai: Shanghai People's Publishing House) p11 (in Chinese) [卡普费雷著, 郑若麟, 边芹译 1991 谣言 (上海:上海人民出版社) 第11页]
[3] Xu B, Liu L 2010 Emergency Management and Management Sciences, IEEE International Conference Beijing, China, August 8-10, 2010 pp53-56
[4] Zhang Y C, Liu Y, Zhang H F, Cheng H, Xiong F 2011 Acta Phys. Sin. 60 050501 (in Chinese) [张彦超, 刘云, 张海峰, 程辉, 熊菲 2011 物理学报 60 050501]
[5] Lü L Y, Chen D B, Zhou T 2011 New J. Physics 13 123005 (in Chinese) [吕琳媛, 陈端兵, 周涛 2011 新物理学杂志 13 123005]
[6] Lan X J, Zhang F Q 2005 Journal of Yuncheng University 23 26 (in Chinese) [兰晓晶, 张凤琴 2005 运城学院学报 23 26]
[7] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. E 65 036134
[8] Cohen R, Havlin S, Ben-avraham D 2003 Phys. Rev. Lett. 91 247901
[9] Gallos L K, Liljeros F, Argyrakis P, Bunde A, Havlin S 2007 Phys. Rev. E 75 045104
[10] Ge X, Zhao H, Zhang J 2011 Computer Science 38 83 (in Chinese) [葛新, 赵海, 张君 2011 计算机科学 38 83]
[11] Tan Y J, Wu J, Deng H Z 2006 Systems Engineering-Theory and Practice 26 79 (in Chinese) [谭跃进, 吴俊, 邓宏钟 2006 系统工程理论与实践 26 79]
[12] Zhu T, Zhang S P, Guo R X, Chang G C 2009 Journal of Systems Engineering and Electronics 31 1902 (in Chinese) [朱涛, 张水平, 郭戎潇, 常国岑 2009 系统工程与电子技术 31 1902]
[13] Wang X F, Li X, Chen G R 2006 Complex Networks and Application (Beijing: Tsinghua University Press) pp95-97 (in Chinese) [汪小帆, 李翔, 陈关荣 2006 复杂网络理论及其应用 (北京: 清华大学出版社) 第95—97页]
[14] Newman M E J, Watts D J 1999 Phys. Lett. A 263 341
[15] Barabasi A L, Albert R 1999 Science 286 509
[16] Qian D Q, Zhang X D 2010 Journal of Hefei University of Technology (Natural Science) 33 1264 (in Chinese) [钱大千, 张晓东 2010 合肥工业大学学报(自然科学版) 33 1264]
[17] Newman M E J 2002 Phys. Rev. Lett. 89 208701
[18] Newman M E J, Park J 2003 Phys. Rev. E 68 036122
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