Spreading behavior of SIS model with non-uniform transmission on scale-free networks

doi:10.1016/S1005-8885(08)60173-9

中国邮电高校学报(英文) ›› 2009, Vol. 16 ›› Issue (1): 27-31.doi: 10.1016/S1005-8885(08)60173-9

Spreading behavior of SIS model with non-uniform transmission on scale-free networks

夏承遗,刘忠信,陈增强,袁著祉

Department of Automation, Nankai University, Tianjin 300071, China

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2009-02-26
通讯作者: 夏承遗

Spreading behavior of SIS model with non-uniform transmission on scale-free networks

XIA Cheng-yi, LIU Zhong-xin, CHEN Zeng-qiang, YUAN Zhu-zhi

Department of Automation, Nankai University, Tianjin 300071, China

Received:1900-01-01 Revised:1900-01-01 Online:2009-02-26
Contact: XIA Cheng-yi

摘要/Abstract

摘要：

The non-uniform transmission and network topological structure are combined to investigate the spreading behavior of susceptible-infected-susceptible (SIS) epidemic model. Based on the mean-field theory, the analytical and numerical results indicate that the epidemic threshold is correlated with the topology of underlying networks, as well as the disease transmission mechanism. These discoveries can greatly help us to further understand the virus propagation on communication networks.

关键词:

spreading;behavior,;SIS,;non-uniform;transmission,;scale-free;networks,;virus;propagation

Abstract:

Key words:

spreading behavior;SIS;non-uniform transmission;scale-free networks;virus propagation

XIA Cheng-yi, LIU Zhong-xin, CHEN Zeng-qiang, YUAN Zhu-zhi. Spreading behavior of SIS model with non-uniform transmission on scale-free networks[J]. Acta Metallurgica Sinica(English letters), 2009, 16(1): 27-31.

参考文献

1. Watts D J, Strogatz S H. Collective dynamics of small world networks. Nature, 1998, 393: 440-442

2. Barabási A L, Albert R. Emergence of scaling in random networks. Science, 1999, 286: 509-512

3. Albert R, Barabási A L. Statistical mechanics of complex networks. Review of Modern Physics, 2002, 74(1): 47-97

4. Newman M E J. The structure and function of complex networks. SIAM Review, 2003, 45(2): 167-256

5. Boccaletti S, Latorab V, Moreno Y, et al. Complex networks: structure and dynamics. Physics Reports, 2006, 424(4/5): 175-308

6. Costa L D F, Rodrigues F A, Travieso G, et al. Characterization of complex networks: A survey of measurements. Advances in Physics, 2007, 56(1): 167-242

7. Xia W, Liu Z Q, Chen Z Q, et al. Commwarrior worm propagation model for smart phone networks. The Journal of China Universities of Posts and Telecommunications, 2008, 15(2): 60-66

8. Ma Z E, Zhou Y C, Wang W D, et al. Epidemic dynamic mathematical model and study. Beijin, China: Science Press, 2004 (in Chinese)

9. Wang J, Liu Y H, Tian D X, et al. Internet worm early detection and response mechanism. The Journal of China Universities of Posts and Telecommunications, 2007, 14(3): 79-84

10. Moreno Y, Nekovee M, Pacheco A F. Dynamics of rumor spreading in complex networks. Physical Review E, 2004, 69(6-2): 066130

11. Zhou T, Fu Z Q, Wang B H. Epidemic dynamics on complex networks. Progress in Natural Science, 2006, 16(5): 452-457

12. Pastor-Satorras R, Vespignani A. Epidemic spreading in scale-free networks. Physical Review Letters, 2001, 86(14): 3200-3203

13. Boguňá M, Pastor-Satorras R, Vespignani A. Absence of epidemic threshold in scale free networks with degree correlation. Physical Review Letters, 2003, 90(2): 028701

14. Barthelemy M, Barrat A, Pastor-Satorras R, et al. Dynamical patterns of epidemic outbreaks in complex heterogeneous networks. Journal of Theoretical Biology, 2005, 235(2): 275-288

15. Xia C Y, Liu Z X, Chen Z Q, et al. Epidemic spreading behavior in local world evolving networks. Progress in Natural Science, 2008, 18(6): 673-678

16. Eubank S, Guclu H, Kumar A, et al. Modeling disease outbreaks in realistic urban social networks. Nature, 2004, 429: 180-184

17. Zhou T, Liu J G, Bai W J, et al. Behaviors of susceptible-infected epidemics on scale-free networks with identical infectivity. Physical Review E, 2006, 74(5-2): 056109

18. Gupta P, Kumar P R. The capacity of wireless networks. IEEE Transactions on Information Theory, 2000, 46(2): 388-404

19. Schneeberger A, Mercer C H, Gregson S A J, et al. Scale-free networks and sexually transmitted disease. Sexually Transmitted Disease, 2004, 31(6): 380-387

20. Kim B J, Jun T, Kim J Y, et al. Network marketing on a small-world network. Physica A, 2006, 360: 493-504

21. Olinky R, Stone L. Unexpected epidemic threshold in heterogeneous networks: The role of disease transmission. Physical Review E, 2004, 70(3-1): 030902

22. Joo J, Lebowitz J L. Behavior of susceptible-infected -susceptible epidemics on heterogeneous networks with saturation. Physical Review E, 2004, 69(6-1): 066105

23. Yang R, Wang B H, Ren J, et al. Epidemic spreading on heterogeneous networks with identical infectivity. Physics Letters A, 2007, 364(3/4): 189-193

24. Wang J Z, Liu Z R, Xu J H. Epidemic spreading on uncorrelated heterogeneous networks with non-uniform transmission. Physica A, 2007, 382: 715-721

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Spreading behavior of SIS model with non-uniform transmission on scale-free networks

Spreading behavior of SIS model with non-uniform transmission on scale-free networks

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