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Periodic Wave of Epidemic Spreading in Community Networks
作者姓名:周银座  刘宗华  周杰
作者单位:Institute of Theoretical Physics and Department of Physics, East China Normal University, Shanghai 200062
基金项目:Supported by the National Natural Science Foundation of China under Grant Nos 10475027 and 10635040, the PPS under Grant No 05PJ14036, by SPS under Grant No 05SG27 and the NCET-05-0424.
摘    要:It was reported by Cummings ef 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.

关 键 词:社区网络  周期波  流行性  SIS模型
收稿时间:2006-12-11
修稿时间:2006-12-11

Periodic Wave of Epidemic Spreading in Community Networks
ZHOU Yin-Zuo,LIU Zong-Hua,ZHOU Jie.Periodic Wave of Epidemic Spreading in Community Networks[J].Chinese Physics Letters,2007,24(2):581-584.
Authors:ZHOU Yin-Zuo  LIU Zong-Hua  ZHOU Jie
Affiliation:Institute of Theoretical Physics and Department of Physics, East China Normal University, Shanghai 200062
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
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