Micro-Blog Information Spreading Model Based on Temporal Heterogeneity
-
摘要: 提出了具有时间异质性的SI(susceptible-infected)传播模型。通过构建异质的时间间隔序列,将微博信息传播动力学过程在无标度网络上仿真。研究结果发现信息新接受个体数n(t) 以幂律形式减少, n(t) ~ t-β。与传统假设的时间间隔服从泊松分布的信息传播模型相比,时间间隔服从幂律分布的传播速度要缓慢很多。同时,传播动力学的幂指数β 受行为时间间隔分布幂指数α 影响,且具有关系β ≈α-1 。本文的仿真分析结果与理论预测结果一致。
-
[1] DALEY D J, GANI J. Epidemic modeling: an introduction[M]. Cambridge: Cambridge University Press, 1999. [2] ALBERT R, BARABÁSI A L. Statistical mechanics of complex networks[J]. Review of Modern Physics, 2002, 74: 47-97. [3] BARABASI A L. The origin of bursts and heavy tails in human dynamics[J]. Nature, 2005, 435: 207-211. [4] KARSAI M, KIVELA M, PAN R K, et al. Small but slow world: How network topology and burstiness slow down spreading[J]. Physics Review E, 2011, 83: 025102. [5] 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. ZHANG Yan-chao, LIU Yun, ZHANG Hai-feng, et al. The research of information dissemination model on online social network[J]. Acta Phys Sin, 2011, 60(5): 050501. [6] SANZ J, FLORIA L M, MORENO Y. Spreading of persistent infections in heterogeneous populations[J]. Physics Review E, 2010, 81(5): 056108. [7] MIN B, GOH K I, VAZQUEZ A. Spreading dynamics following bursty human activity patterns[J]. Physics Review E, 2011, 83(3): 036102. [8] 韩筱璞, 汪秉宏, 周涛. 人类行为动力学研究[J]. 复杂系 统与复杂性科学, 2010, 7(2): 132-144. HAN Xiao-pu, WANG Bing-hong, ZHOU Tao. Researches of human dynamics[J]. Complex System and Complexity Science, 2010, 7(02): 132-144. [9] MIRITELLO G, MORO E, LARA R. Dynamical strength of social ties in information spreading[J]. Physics Review E, 2011, 83: 045102. [10] PASTOR-SATORRAS R, VAZQUEZ A, VESPIGNANI A. Dynamical and correlation properties of the Internet[J]. Physics Review Letter, 2001, 87(25): 258701. [11] SANZ J, FLORIA L M, MORENO Y. Spreading of persistent infections in heterogeneous populations[J]. Physics Review E, 2010, 81(5): 056108. [12] 周涛,韩筱璞 闫小勇, 等. 人类行为时空特性的统计力 学[J]. 电子科技大学学报, 2013, 42(4): 481-540. ZHOU Tao, HAN Xiao-pu, YAN Xiao-yong, et al. Statistical mechanics on temporal and spatial activities of human[J]. Journal of University of Electronic Science and Technology of China, 2013, 42(4): 481-540. [13] 李楠楠, 周涛, 张宁. 人类动力学基本概念与实证分析[J]. 复杂系统与复杂性科学, 2008, 5(2): 138-143. LI Nan-nan, ZHOU Tao, ZHANG Ning. Concept and empirical results of human dynamics[J]. Complex Systems and Complexity Science, 2008, 5(2): 138-143. [14] GONCALVES B, RAMASCO J J. Human dynamics revealed through web analytics[J]. Physics Review E, 2008, 78(2): 026123. [15] RADICCHI F. Human activity in the web[J]. Physics Review E, 2009, 80(2): 026118. [16] LESKOVEC J, HORVITZ E. Planetary-scale views on a large instant-messaging network[C]//Proceedings of the 17th international conference on World Wide Web. Beijing, China: ACM, 2008: 915-924. [17] 陆豪放, 张千明, 周莹, 等. 微博中的信息传播:媒体效 应与社交影响[J]. 电子科技大学学报, 2014, 43(2): 167-173. LU Hao-fang, ZHANG Qian-ming, ZHOU Ying, et al. Information spreading in microblogging systems: Media effect versus social impact[J]. Journal of University of Electronic Science and Technology of China, 2014, 43(2): 167-173. [18] 邵凤, 郭强, 曾诗奇, 等. 微博系统网络结构的研究进 展[J]. 电子科技大学学报, 2014, 43(2): 174-183. SHAO Feng, GUO Qiang, ZENG Shi-qi, et al. Research progress of the microblog system structures[J]. Journal of University of Electronic Science and Technology of China, 2014, 43(2): 174-183. [19] 周涛. 在线电影点播中的人类行为动力学模式[J]. 复杂 系统与复杂性科学, 2008, 5(1): 1-5. ZHOU Tao. Human activity pattern on on-line movie watching[J]. Complex Systems and Complexity Science, 2008, 5(1): 1-5. [20] 赵庚升, 张宁, 周涛. 网页浏览中的标度行为研究[J]. 统计与决策, 2009, 277(1): 18-19. ZHAO Geng-sheng, ZHANG Ning, ZHOU Tao. Scaling behavior of web browsing[J]. Statistics and Decision, 2009, 277(1): 18-19. [21] VAZQUEZ A. Polynomial growth in branching processes with diverging reproductive number[J]. Physics Review Letter, 2006, 96(3): 038702. [22] FELLER W. An introduction to probability theory and its applications[M]. New York: Wiley, 1967. [23] YANG Zi-mo, CUI Ai-xiang, ZHOU Tao. Impact of heterogeneous human activities on epidemic spreading[J]. Physica A, 2011, 390(23): 4543-4548.
点击查看大图
计量
- 文章访问数: 4345
- HTML全文浏览量: 196
- PDF下载量: 140
- 被引次数: 0