Chin. Phys. Lett.  2007, Vol. 24 Issue (2): 581-584    DOI:
Original Articles |
Periodic Wave of Epidemic Spreading in Community Networks
ZHOU Yin-Zuo;LIU Zong-Hua;ZHOU Jie
Institute of Theoretical Physics and Department of Physics, East China Normal University, Shanghai 200062
Cite this article:   
ZHOU Yin-Zuo, LIU Zong-Hua, ZHOU Jie 2007 Chin. Phys. Lett. 24 581-584
Download: PDF(266KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract It was reported by Cummings et al. [Nature 427(2004)344] that there are periodic waves in the spatiotemporal data of epidemics. For understanding the mechanism, we study the epidemic spreading on community networks by both the SIS model and the SIRS model. We find that with the increase of infection rate, the number of total infected nodes may be stabilized at a fixed point, oscillatory waves, and periodic cycles. Moreover, the epidemic spreading in the SIS model can be explained by an analytic map.
Keywords: 89.75.Hc      87.23.Ge     
Received: 11 December 2006      Published: 24 February 2007
PACS:  89.75.Hc (Networks and genealogical trees)  
  87.23.Ge (Dynamics of social systems)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2007/V24/I2/0581
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
ZHOU Yin-Zuo
LIU Zong-Hua
ZHOU Jie
[1] Pastor-Satorras R and Vespignani A 2001 Phys. Rev. Lett. 86 3200 Pastor-Satorras R and Vespignani A 2001 Phys. Rev. E 63 066117
[2] Joo J and Lebowitz J L 2004 Phys. Rev. E 69 066105
[3] Barthelemy M and Barrat A 2005 J. Theor. Biol. 235 275
[4] Zheng D F, Hui P M, Trimper S and Zheng B 2005 Physica A 352 659
[5] Liu Z, Lai Y C and Ye N 2003 Phys. Rev. E 67 031911
[6] Naim E B 2004 Phys. Rev. E 69 050901(R)
[7] Shao Z G and Sang J P 2005 Physica A 351 662
[8] Newman M E J 2002 Phys. Rev. E 66 016128
[9] Yan G, Zhou T, Wang J, Fu Z Q and Wang B H 2005 Chin.Phys. Lett. 22 510
[10] Zhang H, Liu Z and Ma W 2006 Chin. Phys. Lett. 231050
[11] Anderson R M and May R M 1992 Infections Diseases inHumans (Oxford: Oxford University Press)
[12] Kuperman M and Abramson G 2001 Phys. Rev. Lett. 862909
[13] Cummings D A T et al. 2004 Nature 427 344
[14] Vecchio A, Primavera L and Carbone V 2006 Phys. Rev. E 73 031913
[15] Newman M E J 2002 Phys. Rev. Lett. 89 208701
[16] Jin E M, Girvan M and Newman M E J 2001 Phys. Rev. E 64 046132
[17] Liu Z and Hu B 2005 Europhys. Lett. 72 315
Related articles from Frontiers Journals
[1] QI Kai,TANG Ming**,CUI Ai-Xiang,FU Yan. The Slow Dynamics of the Zero-Range Process in the Framework of the Traps Model[J]. Chin. Phys. Lett., 2012, 29(5): 581-584
[2] ZHANG Feng-Li,ZHANG Mei**. Emergence and Decline of Scientific Paradigms in a Two-Group System[J]. Chin. Phys. Lett., 2012, 29(4): 581-584
[3] LIU Xu,XIE Zheng,YI Dong-Yun**. Community Detection by Neighborhood Similarity[J]. Chin. Phys. Lett., 2012, 29(4): 581-584
[4] LI Ping, ZHANG Jie, XU Xiao-Ke, SMALL Michael. Dynamical Influence of Nodes Revisited: A Markov Chain Analysis of Epidemic Process on Networks[J]. Chin. Phys. Lett., 2012, 29(4): 581-584
[5] XIE Zheng, YI Dong-Yun, OUYANG Zhen-Zheng, LI Dong. Hyperedge Communities and Modularity Reveal Structure for Documents[J]. Chin. Phys. Lett., 2012, 29(3): 581-584
[6] TIAN Liang, LIN Min. Relaxation of Evolutionary Dynamics on the Bethe Lattice[J]. Chin. Phys. Lett., 2012, 29(3): 581-584
[7] REN Xue-Zao, YANG Zi-Mo, WANG Bing-Hong, ZHOU Tao. Mandelbrot Law of Evolving Networks[J]. Chin. Phys. Lett., 2012, 29(3): 581-584
[8] ZHU Zi-Qi, JIN Xiao-Ling, HUANG Zhi-Long. Search for Directed Networks by Different Random Walk Strategies[J]. Chin. Phys. Lett., 2012, 29(3): 581-584
[9] SUN Mei, CHEN Ying, CAO Long, WANG Xiao-Fang. Adaptive Third-Order Leader-Following Consensus of Nonlinear Multi-agent Systems with Perturbations[J]. Chin. Phys. Lett., 2012, 29(2): 581-584
[10] DENG Li-Li, TANG Wan-Sheng**, ZHANG Jian-Xiong . Coevolution of Structure and Strategy Promoting Fairness in the Ultimatum Game[J]. Chin. Phys. Lett., 2011, 28(7): 581-584
[11] SUN Wei-Gang, , CAO Jian-Ting, WANG Ru-Bin** . Approach of Complex Networks for the Determination of Brain Death[J]. Chin. Phys. Lett., 2011, 28(6): 581-584
[12] LI Jun, WU Jun**, LI Yong, DENG Hong-Zhong, TAN Yue-Jin** . Optimal Attack Strategy in Random Scale-Free Networks Based on Incomplete Information[J]. Chin. Phys. Lett., 2011, 28(6): 581-584
[13] SHANG Yi-Lun . Local Natural Connectivity in Complex Networks[J]. Chin. Phys. Lett., 2011, 28(6): 581-584
[14] CAO Xian-Bin, DU Wen-Bo, **, CHEN Cai-Long, ZHANG Jun . Effect of Adaptive Delivery Capacity on Networked Traffic Dynamics[J]. Chin. Phys. Lett., 2011, 28(5): 581-584
[15] LI Jun, WU Jun**, LI Yong, DENG Hong-Zhong, TAN Yue-Jin** . Attack Robustness of Scale-Free Networks Based on Grey Information[J]. Chin. Phys. Lett., 2011, 28(5): 581-584
Viewed
Full text


Abstract