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A modified susceptible-infected (SI) model is developed in this paper. The mean field approximation method is further adopted. This present research is based on traffic-driven epidemic spreading behavior. Take MIP routing for example, diffusion coefficient τ, traffic generation rate λ, infection rate β and their relationship with the actual betweenness bk are re-explored under the SI model. Both the theoretical and experimental results indicate that under the same internet topology and routing strategy, the diffusion coefficient τ is inversely proportional to average traffic generation rate λ and infection rate β.
[1] Watts D J, Strogatz S H 1998 Nature 393 440
[2] Shi H J, Duan Z S, Chen G R, Li R 2009 Chin. Phys. B 18 309
[3] May R M, Lloyd A L 2001 Phys. Rev. E 64 066112
[4] Barthelemy M, Barrat A, Pastor-Satorras R, Vespignani A 2004 Phys. Rev. Lett. 92 178701
[5] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200
[6] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. E 63 066117
[7] Pastor-Satorras R, Vespignani A 2002 Phys. Rev. E 65 036104
[8] Meloni S, Arenas A, Moreno Y 2009 Proc. Natl. Acad. Sci. USA. 106 16897
[9] Wang Y Q, Jiang G P 2011 Acta Phys. Sin. 60 060202 (in Chinese) [王亚奇, 蒋国平 2011 60 060202]
[10] Qiu S W, Wang K, Liu Q, Pei W J, Hu H K, Yang G, Wei C J, Zhang Y F 2012 Acta Phys. Sin. 61 150201 (in Chinese) [仇慎伟, 王开, 刘茜, 裴文江, 胡恒凯, 杨光, 蔚承建, 张毅峰 2012 61 150201]
[11] Barabasi A L, Albert R 2000 Physica A 281 69
[12] Wang K, Zhang Y F, Zhou S Y, Pei W J, Li T, Wang S P 2011 Physica A 390 2593
[13] Zhou SY, Wang K, Pei W J 2011 Chin. Phys. B 20 080501
[14] Chen Y P, Paul G 2008 Phys. Rev. Lett. 101 058701
[15] Maksim Ki, Lazaros K 2010 Nat. Phys. 6 888
[16] Chen D B, Lu L Y 2012 Physica A 391 1777
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[1] Watts D J, Strogatz S H 1998 Nature 393 440
[2] Shi H J, Duan Z S, Chen G R, Li R 2009 Chin. Phys. B 18 309
[3] May R M, Lloyd A L 2001 Phys. Rev. E 64 066112
[4] Barthelemy M, Barrat A, Pastor-Satorras R, Vespignani A 2004 Phys. Rev. Lett. 92 178701
[5] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200
[6] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. E 63 066117
[7] Pastor-Satorras R, Vespignani A 2002 Phys. Rev. E 65 036104
[8] Meloni S, Arenas A, Moreno Y 2009 Proc. Natl. Acad. Sci. USA. 106 16897
[9] Wang Y Q, Jiang G P 2011 Acta Phys. Sin. 60 060202 (in Chinese) [王亚奇, 蒋国平 2011 60 060202]
[10] Qiu S W, Wang K, Liu Q, Pei W J, Hu H K, Yang G, Wei C J, Zhang Y F 2012 Acta Phys. Sin. 61 150201 (in Chinese) [仇慎伟, 王开, 刘茜, 裴文江, 胡恒凯, 杨光, 蔚承建, 张毅峰 2012 61 150201]
[11] Barabasi A L, Albert R 2000 Physica A 281 69
[12] Wang K, Zhang Y F, Zhou S Y, Pei W J, Li T, Wang S P 2011 Physica A 390 2593
[13] Zhou SY, Wang K, Pei W J 2011 Chin. Phys. B 20 080501
[14] Chen Y P, Paul G 2008 Phys. Rev. Lett. 101 058701
[15] Maksim Ki, Lazaros K 2010 Nat. Phys. 6 888
[16] Chen D B, Lu L Y 2012 Physica A 391 1777
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