Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Stability of information spreading over social network

Wang Chao Liu Cheng-Yuan Hu Yuan-Ping Liu Zhi-Hong Ma Jian-Feng

Citation:

Stability of information spreading over social network

Wang Chao, Liu Cheng-Yuan, Hu Yuan-Ping, Liu Zhi-Hong, Ma Jian-Feng
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • Social networks have been developed into one of the most important media for information propagation, and it is necessary to disclose how the information disseminates over social networks. In this paper, we explore the spreading mechanism including information stifling and forgetting, establish a spreading model, and elaborate the spreading rules. According to the spreading model, we build the mean field equation, calculate the two equilibriums and the basic reproduction number R0, and prove theoretically the asymptotical stability of the equilibriums. We analyze the effects of stifling mechanism and forgetting mechanism on the information spreading process, and validate the results of theoretical analysis by numerical simulations.
    • Funds: Project supported by the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China (Grant No. IRT1078), the Key Program of NSFC-Guangdong Union Foundation (Grant No. U1135002), the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX03005-002), the National Natural Science Foundation of China (Grant No. 61173135), and the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant Nos. JY10000903001, K5051303007, K5051203012).
    [1]

    Guan W, Gao H, Yang M, Li Y, Ma H, Qian W, Cao Z, Yang X 2014 Physica A: Statistical Mechanics and its Applications 395 340

    [2]

    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]

    [3]

    Zhao L, Guan X H, Yuan R X 2012 Knowledge and Information Systems 31 371

    [4]

    Leskovec J, McGlohon M, Faloutsos C, Glance N, Hurst M 2007 International Conference on Data Mining, Proceedings of the 7th SIAM International Conference on Data Mining Minneapolis, Minnesota, USA, April 26-28, 2007 p551

    [5]

    Xu R Z, Li H L, Xing C M 2013 Int. J. Comput. Sci. Appl. 1 1

    [6]

    May R M, Lloyd A L 2001 Phys. Rev. E 64 066112

    [7]

    Moreno Y, Pastor Satorras R, Vespignani A 2002 Europ. Phys. J. B 26 521

    [8]

    Yang R, Wang B H, Ren J, Bai W J, Shi Z W, Wang W X, Zhou T 2007 Phys. Lett. A 364 189

    [9]

    Wang J, Zhao L, Huang R 2014 Physica A: Statistical Mechanics and its Applications 398 43

    [10]

    Isham V, Harden S, Nekovee M 2010 Physica A 389 561

    [11]

    Zhao L, Wang Q, Cheng J, Chen Y, Wang J, Huang W 2011 Physica A: Statistical Mechanics and its Applications 390 2619

    [12]

    Zhao L, Xie W, Gao H O, Qiu X, Wang X, Zhang S 2013 Physica A: Statistical Mechanics and its Applications 392 6146

    [13]

    Zhao L, Wang J, Chen Y, Wang Q, Cheng J, Cui H 2012 Physica A: Statistical Mechanics and its Applications 391 2444

    [14]

    Gong Y W, Song Y R, Jiang G P 2012 Chin. Phys. B 21 010205

    [15]

    Lu Y L, Jiang G P, Song Y R 2012 Chin. Phys. B 21 100207

    [16]

    Pastor Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200

    [17]

    Zhu G, Fu X, Chen G 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 2588

    [18]

    Yang M, Chen G, Fu X 2011 Physica A: Statistical Mechanics and its Applications 390 2408

    [19]

    Lu Y L, Jiang G P, Song Y R 2013 Acta Phys. Sin. 62 130202(in Chinese)[鲁延玲, 蒋国平, 宋玉蓉 2013 物理学报 62 130202]

    [20]

    Zhang J, Sun J 2014 Physica A: Statistical Mechanics and its Applications 394 24

    [21]

    d'Onofrio A 2008 Nonlinear Analysis: Real World Applications 9 1567

    [22]

    Wang Y, Jin Z, Yang Z, Zhang Z K, Zhou T, Sun G Q 2012 Nonlinear Analysis: Real World Application 13 543

    [23]

    Wang J, Liu M, Li Y 2013 Physica A: Statistical Mechanics and its Applications 392 1621

    [24]

    Wang Y, Cao J, Jin Z, Zhang H, Sun G Q 2013 Physica A: Statistical Mechanics and its Applications 392 5824

    [25]

    Zhou Y, Xia Y 2014 Physica A: Statistical Mechanics and its Applications 399 16

    [26]

    Feng Y, Fan Q, Ma L, Ding L 2014 Physica A: Statistical Mechanics and its Applications 393 277

    [27]

    Shi H J, Duan Z S, Chen G R, Li R 2009 Chin. Phys. B 18 3309

    [28]

    Li C H, Tsai C C, Yang S Y 2014 Commun. Nonlinear Sci. Numer. Simulat. 19 1042

    [29]

    Liu J, Zhang T 2011 Commun. Nonlinear Sci. Numer. Simulat. 16 3375

    [30]

    Gong Y W, Song Y R, Jiang G P 2012 Acta Phys. Sin. 61 110205(in Chinese)[巩永旺, 宋玉蓉, 蒋国平 2012 物理学报 61 110205]

    [31]

    Zhu G, Fu X, Chen G 2012 Appl. Math. Model. 36 5808

    [32]

    Gu J, Li W, Cai X 2008 Europ. Phys. J. B 62 247

    [33]

    Ebbinghaus H 2010 Memory: A Contribution to Experimental Psychology (Whitefish: Nabu Press) pp18-22

    [34]

    van den Driessche P, Watmough J 2002 Math. Biosci. 180 29

  • [1]

    Guan W, Gao H, Yang M, Li Y, Ma H, Qian W, Cao Z, Yang X 2014 Physica A: Statistical Mechanics and its Applications 395 340

    [2]

    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]

    [3]

    Zhao L, Guan X H, Yuan R X 2012 Knowledge and Information Systems 31 371

    [4]

    Leskovec J, McGlohon M, Faloutsos C, Glance N, Hurst M 2007 International Conference on Data Mining, Proceedings of the 7th SIAM International Conference on Data Mining Minneapolis, Minnesota, USA, April 26-28, 2007 p551

    [5]

    Xu R Z, Li H L, Xing C M 2013 Int. J. Comput. Sci. Appl. 1 1

    [6]

    May R M, Lloyd A L 2001 Phys. Rev. E 64 066112

    [7]

    Moreno Y, Pastor Satorras R, Vespignani A 2002 Europ. Phys. J. B 26 521

    [8]

    Yang R, Wang B H, Ren J, Bai W J, Shi Z W, Wang W X, Zhou T 2007 Phys. Lett. A 364 189

    [9]

    Wang J, Zhao L, Huang R 2014 Physica A: Statistical Mechanics and its Applications 398 43

    [10]

    Isham V, Harden S, Nekovee M 2010 Physica A 389 561

    [11]

    Zhao L, Wang Q, Cheng J, Chen Y, Wang J, Huang W 2011 Physica A: Statistical Mechanics and its Applications 390 2619

    [12]

    Zhao L, Xie W, Gao H O, Qiu X, Wang X, Zhang S 2013 Physica A: Statistical Mechanics and its Applications 392 6146

    [13]

    Zhao L, Wang J, Chen Y, Wang Q, Cheng J, Cui H 2012 Physica A: Statistical Mechanics and its Applications 391 2444

    [14]

    Gong Y W, Song Y R, Jiang G P 2012 Chin. Phys. B 21 010205

    [15]

    Lu Y L, Jiang G P, Song Y R 2012 Chin. Phys. B 21 100207

    [16]

    Pastor Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200

    [17]

    Zhu G, Fu X, Chen G 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 2588

    [18]

    Yang M, Chen G, Fu X 2011 Physica A: Statistical Mechanics and its Applications 390 2408

    [19]

    Lu Y L, Jiang G P, Song Y R 2013 Acta Phys. Sin. 62 130202(in Chinese)[鲁延玲, 蒋国平, 宋玉蓉 2013 物理学报 62 130202]

    [20]

    Zhang J, Sun J 2014 Physica A: Statistical Mechanics and its Applications 394 24

    [21]

    d'Onofrio A 2008 Nonlinear Analysis: Real World Applications 9 1567

    [22]

    Wang Y, Jin Z, Yang Z, Zhang Z K, Zhou T, Sun G Q 2012 Nonlinear Analysis: Real World Application 13 543

    [23]

    Wang J, Liu M, Li Y 2013 Physica A: Statistical Mechanics and its Applications 392 1621

    [24]

    Wang Y, Cao J, Jin Z, Zhang H, Sun G Q 2013 Physica A: Statistical Mechanics and its Applications 392 5824

    [25]

    Zhou Y, Xia Y 2014 Physica A: Statistical Mechanics and its Applications 399 16

    [26]

    Feng Y, Fan Q, Ma L, Ding L 2014 Physica A: Statistical Mechanics and its Applications 393 277

    [27]

    Shi H J, Duan Z S, Chen G R, Li R 2009 Chin. Phys. B 18 3309

    [28]

    Li C H, Tsai C C, Yang S Y 2014 Commun. Nonlinear Sci. Numer. Simulat. 19 1042

    [29]

    Liu J, Zhang T 2011 Commun. Nonlinear Sci. Numer. Simulat. 16 3375

    [30]

    Gong Y W, Song Y R, Jiang G P 2012 Acta Phys. Sin. 61 110205(in Chinese)[巩永旺, 宋玉蓉, 蒋国平 2012 物理学报 61 110205]

    [31]

    Zhu G, Fu X, Chen G 2012 Appl. Math. Model. 36 5808

    [32]

    Gu J, Li W, Cai X 2008 Europ. Phys. J. B 62 247

    [33]

    Ebbinghaus H 2010 Memory: A Contribution to Experimental Psychology (Whitefish: Nabu Press) pp18-22

    [34]

    van den Driessche P, Watmough J 2002 Math. Biosci. 180 29

  • [1] Wang Guo-Qiang, Zhang Shuo, Yang Jun-Yuan, Xu Xiao-Ke. Study of coupling the age-structured contact patterns to the COVID-19 pandemic transmission. Acta Physica Sinica, 2021, 70(1): 010201. doi: 10.7498/aps.70.20201371
    [2] Li Xin, Zhao Cheng-Li, Liu Yang-Yang. Distinguishing node propagation influence by expected index of finite step propagation range. Acta Physica Sinica, 2020, 69(2): 028901. doi: 10.7498/aps.69.20191313
    [3] Li Ying-Ke, Zhao Shi, Lou Yi-Jun, Gao Dao-Zhou, Yang Lin, He Dai-Hai. Epidemiological parameters and models of coronavirus disease 2019. Acta Physica Sinica, 2020, 69(9): 090202. doi: 10.7498/aps.69.20200389
    [4] Huang Li-Ya, Tang Ping-Chuan, Huo You-Liang, Zheng Yi, Cheng Xie-Feng. Node importance based on the weighted K-order propagation number algorithm. Acta Physica Sinica, 2019, 68(12): 128901. doi: 10.7498/aps.68.20190087
    [5] Wu Yue, Du Ya-Jun, Chen Xiao-Liang, Li Xian-Yong. Newly exposed conflicting news based network opinion reversal. Acta Physica Sinica, 2016, 65(3): 030502. doi: 10.7498/aps.65.030502
    [6] Tang Tao. Numerical validation study of high power microwave soil breakdown. Acta Physica Sinica, 2015, 64(4): 045203. doi: 10.7498/aps.64.045203
    [7] Zhu Lin-He, Zhao Hong-Yong. Stability and bifurcation control in inertial neuron networks with delays. Acta Physica Sinica, 2014, 63(9): 090203. doi: 10.7498/aps.63.090203
    [8] Huang Fei-Hu, Peng Jian, Ning Li-Miao. Opinion evolution model of social network based on information entropy. Acta Physica Sinica, 2014, 63(16): 160501. doi: 10.7498/aps.63.160501
    [9] Li Xiu-Ping, Wang Shan-Jin, Chen Qiong, Luo Shi-Yu. Parametric excitation and stability of crystalline undulator radiation. Acta Physica Sinica, 2013, 62(22): 224102. doi: 10.7498/aps.62.224102
    [10] Li Yong-Jun, Liu Zun, Yu Hui. Advisor-advisee relationship identification based on maximum entropy model. Acta Physica Sinica, 2013, 62(16): 168902. doi: 10.7498/aps.62.168902
    [11] Zhao Jia, Yu Li, Li Jing-Ru. Node influence calculation mechanism based on Bayesian and semiring algebraic model in social networks. Acta Physica Sinica, 2013, 62(13): 130201. doi: 10.7498/aps.62.130201
    [12] Lu Yan-Ling, Jiang Guo-Ping, Song Yu-Rong. Stability and bifurcation of epidemic spreading on adaptive network. Acta Physica Sinica, 2013, 62(13): 130202. doi: 10.7498/aps.62.130202
    [13] Wang Can-Jun, Li Jiang-Cheng, Mei Dong-Cheng. Effect of noises on the stability of a metapopulation. Acta Physica Sinica, 2012, 61(12): 120506. doi: 10.7498/aps.61.120506
    [14] Zhang Juan, Zhou Zhi-Gang, Shi Yu-Ren, Yang Hong-Juan, Duan Wen-Shan. The stability of solitay wave solution to a modified Kadomtsev-Petviashvili equation. Acta Physica Sinica, 2012, 61(13): 130401. doi: 10.7498/aps.61.130401
    [15] Xiong Xi, Hu Yong. Research on the dynamics of opinion spread based on social network services. Acta Physica Sinica, 2012, 61(15): 150509. doi: 10.7498/aps.61.150509
    [16] Wang Xiao-Juan, Gong Zhi-Qiang, Zhou Lei, Zhi Rong. Analysis of the stability of temperature networks (part Ⅰ)——The influence of extreme events. Acta Physica Sinica, 2009, 58(9): 6651-6658. doi: 10.7498/aps.58.6651
    [17] Ouyang Yu, Peng Jing-Cui, Wang Hui, Yi Shuang-Ping. Study on the stability of carbon nanotubes. Acta Physica Sinica, 2008, 57(1): 615-620. doi: 10.7498/aps.57.615
    [18] Wang Yan, Han Xiao-Yan, Ren Hui-Zhi, Hou Guo-Fu, Guo Qun-Chao, Zhu Feng, Zhang De-Kun, Sun Jian, Xue Jun-Ming, Zhao Ying, Geng Xin-Hua. Stability of mixed phase silicon thin film material under light soaking. Acta Physica Sinica, 2006, 55(2): 947-951. doi: 10.7498/aps.55.947
    [19] Ouyang Shi-Gen, Jiang De-Sheng, She Wei-Long. Stability of photovotaic spatial soliton with two-wavelength components. Acta Physica Sinica, 2004, 53(9): 3033-3041. doi: 10.7498/aps.53.3033
    [20] WANG HONG-XIA, YU JUE-BANG. ANALYSIS OF STABILITY FOR EQUILIBRIUM OFCELLULAR NEURAL NETWORKS. Acta Physica Sinica, 2001, 50(12): 2303-2306. doi: 10.7498/aps.50.2303
Metrics
  • Abstract views:  5892
  • PDF Downloads:  941
  • Cited By: 0
Publishing process
  • Received Date:  10 April 2014
  • Accepted Date:  16 May 2014
  • Published Online:  05 September 2014

/

返回文章
返回