An SIS Epidemic Model with Feedback Mechanism in Scale-Free Networks

Article Preview

Abstract:

A new susceptible-infected-susceptible model with feedback mechanism is proposed. The dynamic behavior of the epidemic model with feedback mechanism in scale-free networks is researched by theoretical analysis and computer simulation. The results show that feedback mechanism can reduce the stable infective ratio of system; however, it can not influence the epidemic threshold of system. The results can help us to understand rightly epidemic spreading process in reality networks and guide people to design effective epidemic preventive and controlling measures when epidemic outbreaks.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 204-210)

Pages:

354-358

Citation:

Online since:

February 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Fang Jinqin, Wang Xiaofan, Zheng Zigan, Bi Qiao, Di Zengru, Li Xian. New interdisciplinary science: Network science (I). Progress in Physics, 2007, 27(3): 239-343.

Google Scholar

[2] Fang Jinqin, Wang Xiaofan, Zheng Zigan, Bi Qiao, Di Zengru, Li Xian. New interdisciplinary science: Network science (II). Progress in Physics, 2007, 27(4): 361-448.

Google Scholar

[3] Pastor-Satorras R, Vespignani A. Epidemic spreading in scale-free networks. Phys. Rev. Lett., 2001, 86: 3200-3203.

DOI: 10.1103/physrevlett.86.3200

Google Scholar

[4] Pastor-Satorras R, Vespignani A. Epidemic dynamics and endemic states in complex networks. Phys. Rev. E, 2001, 63: 066117.

DOI: 10.1103/physreve.63.066117

Google Scholar

[5] Newman M E J. Spread of epidemic disease on networks. Phys. Rev. E, 2002, 66: 06128.

Google Scholar

[6] Moreno Y, Pastor-Satorras R, and Vespignani A. Epidemic outbreaks in complex heterogeneous networks. Eur. Phys. J B, 2002, 26: 521-529.

DOI: 10.1140/epjb/e20020122

Google Scholar

[7] Lin Guoji, Jia Xun, Ouyang Qi. Predict SARS infection with the small world network model. Journal of Peking University (Health Sciences), 2003, 35: 66-69.

Google Scholar

[8] Liu Z R, Yan J R, Zhang J G, Wang L. Epidemic Dynamics with Feedback Mechanism in Exponential Networks. Chin. Phys. Lett., 2006, 23: 1343-1351.

Google Scholar

[9] Barabási A L. Albert R, Emergence of scaling in random network. Science, 1999, 286: 509-512.

Google Scholar

[10] Barabási A L, Albert R, and Jeong H. Mean-field theory for scale-free random networks. Physics A, 1999, 272: 173-187.

DOI: 10.1016/s0378-4371(99)00291-5

Google Scholar

[11] Takeuchi Y, Ma W. B, Beretta E. Nonlinear Anal. 2000, 42: 931-947.

Google Scholar

[12] Pastor-Satorras R, Vespignani A. Epidemics and immunization in scale-free networks. Wiley-VCH, Berlin, (2003).

Google Scholar