Dynamical patterns of epidemic outbreaks on scale-free networks with traffic flow

Hu Heng-Kai; Wang Kai; Yang Guang; Liu Qian; Pei Wen-Jiang; Qiu Shen-Wei; Wei Cheng-Jian; Zhang Yi-Feng

doi:10.7498/aps.61.200209

Abstract

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.

Keywords:

Authors and contacts

1.
College of Electronic and Information Engineering, Nanjing University of Technology, Nanjing 210009, China;
2.
Department of Radio Engineering, Southeast University, Nanjing 210096, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61201173, 60972165, 61105048, 60901012), the Doctoral Fund of Ministry of Education of China (Grant Nos. 20100092120012, 20090092120012), the Natural Science Foundation of Jiangsu Province, China (Grant Nos. BK2011060, BK2010240), and the Open Foundation of Key Laboratory of Remote Measuring and Control of Jiangsu Province, China (Grant No. YCCK201005).

References

[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 物理学报 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 物理学报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

Cited By

[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 物理学报 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 物理学报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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