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In this paper, we propose an improved CSR model for rumor spreading in mobile social networks. The dynamic equation of rumor spreading is modified to be suitable for user's habit in mobile social networks. In the acceptant probability model, negative and positive social reinforcements are considered. Furthermore, the people's accepting threshold for rumor accepting is taken into account. Analytically, a mean field theory is worked out by considering the influence of network topological structure as homogeneous. Under certain conditions, rumor spreads faster and wider in the new model than CSR rumor spreading model in homogeneous networks. Meanwhile, the multi-agent simulation results indicate that the information spreading process is sensitively dependent on initial conditions.
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Keywords:
- complex networks /
- mobile social network /
- rumor spreading
[1] 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]
[2] Wang Y X, Qiao X Q, Li X F, Meng L M 2010 Chinese Journal of Computers 33 2126 (in Chinese) [王玉祥, 乔秀全, 李晓峰, 孟洛明 2010 计算机学报 33 2126]
[3] Adams B, Phung D, Venkatesh S 2008 ACM Transactionson Mutimedia Computing Comunications and Applications 5 1
[4] Ugander J, Karrer B, Backstrom L, Marlow C 2011 available: https://www.facebook.com, November 21, 2011
[5] Watts D J, Strogatz S H 1998 Nature 393
[6] Barabasi A L, Albert R 1999 Science 286 509
[7] Centola D 2010 Science 329 1194
[8] Li X, Wang X F, Xu D 2007 Acta Phys. Sin. 56 1313 (in Chinese) [李翔, 汪小帆, 许丹 2007 物理学报 56 1313]
[9] Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D U 2006 Physics Reports 424 175
[10] Zhou T, Bai W J, Wang B H 2005 Physics 34 (in Chinese) [周涛, 柏文洁, 汪秉宏 2005 物理 34]
[11] Moore C, Newman M E J 2000 Phys. Rev. E 61 5678
[12] Newman M E J. Forrest S, Balthrop J 2002 Phys. Rev. E 66 035101
[13] Sudbury A 1985 Journal of Applied Probability 22 443
[14] Zanette D H 2001 Phys. Rev. E 64 050901
[15] Zhou J, Liu Z H, Li B W 2007 Phys. Lett. A 368 458
[16] Liu Z H, Lai Y C, Ye N 2003 Phys. Rev. E 67 031911
[17] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. E 63 066117
[18] Allport G W, Postman L 1947 The psychology of rumor Oxford, England: Henry Holt
[19] Moreno Y, Nekovee M, Pacheco A F 2004 Phys. Rev. E 69 066130
[20] Newman M E J 2002 Phys. Rev. Lett. 89 208701
[21] Lu L Y, Chen D B, Zhou T 2011 New Journal of Physics 13 123005
[22] Krapivsky P L, Redner S, Volovik D 2011 Journal of Statistical Mechanics 2011 p12003
[23] Hui W, Lin D, Fei Xie, Hui X, Jiang H H 2012 2012 IEEE International Conference on Granular Computing Hangzhou, China, 2012
[24] Dodds P S, Watts D J 2004 Physical Review Letters 92 218701
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[1] 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]
[2] Wang Y X, Qiao X Q, Li X F, Meng L M 2010 Chinese Journal of Computers 33 2126 (in Chinese) [王玉祥, 乔秀全, 李晓峰, 孟洛明 2010 计算机学报 33 2126]
[3] Adams B, Phung D, Venkatesh S 2008 ACM Transactionson Mutimedia Computing Comunications and Applications 5 1
[4] Ugander J, Karrer B, Backstrom L, Marlow C 2011 available: https://www.facebook.com, November 21, 2011
[5] Watts D J, Strogatz S H 1998 Nature 393
[6] Barabasi A L, Albert R 1999 Science 286 509
[7] Centola D 2010 Science 329 1194
[8] Li X, Wang X F, Xu D 2007 Acta Phys. Sin. 56 1313 (in Chinese) [李翔, 汪小帆, 许丹 2007 物理学报 56 1313]
[9] Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D U 2006 Physics Reports 424 175
[10] Zhou T, Bai W J, Wang B H 2005 Physics 34 (in Chinese) [周涛, 柏文洁, 汪秉宏 2005 物理 34]
[11] Moore C, Newman M E J 2000 Phys. Rev. E 61 5678
[12] Newman M E J. Forrest S, Balthrop J 2002 Phys. Rev. E 66 035101
[13] Sudbury A 1985 Journal of Applied Probability 22 443
[14] Zanette D H 2001 Phys. Rev. E 64 050901
[15] Zhou J, Liu Z H, Li B W 2007 Phys. Lett. A 368 458
[16] Liu Z H, Lai Y C, Ye N 2003 Phys. Rev. E 67 031911
[17] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. E 63 066117
[18] Allport G W, Postman L 1947 The psychology of rumor Oxford, England: Henry Holt
[19] Moreno Y, Nekovee M, Pacheco A F 2004 Phys. Rev. E 69 066130
[20] Newman M E J 2002 Phys. Rev. Lett. 89 208701
[21] Lu L Y, Chen D B, Zhou T 2011 New Journal of Physics 13 123005
[22] Krapivsky P L, Redner S, Volovik D 2011 Journal of Statistical Mechanics 2011 p12003
[23] Hui W, Lin D, Fei Xie, Hui X, Jiang H H 2012 2012 IEEE International Conference on Granular Computing Hangzhou, China, 2012
[24] Dodds P S, Watts D J 2004 Physical Review Letters 92 218701
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