Stability of information spreading over social network

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

doi:10.7498/aps.63.180501

Abstract

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.

Keywords:

Authors and contacts

1.
School of Computer Science and technology, Xidian University, Xi'an 710071, China;
2.
Shaanxi Key Laboratory of Network and System Security, Xidian University, Xi'an 710071, China
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).

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[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
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[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 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
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[31]	Zhu G, Fu X, Chen G 2012 Appl. Math. Model. 36 5808
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[33]	Ebbinghaus H 2010 Memory: A Contribution to Experimental Psychology (Whitefish: Nabu Press) pp18-22
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Cited By

[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 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 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 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

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Catalog

Vol. 63, Issue 18 - 2014-09-20

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