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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 |
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| Cite this article: |
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ZHOU Yin-Zuo, LIU Zong-Hua, ZHOU Jie 2007 Chin. Phys. Lett. 24 581-584 |
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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.
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| Keywords:
89.75.Hc
87.23.Ge
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Received: 11 December 2006
Published: 24 February 2007
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| PACS: |
89.75.Hc
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(Networks and genealogical trees)
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87.23.Ge
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(Dynamics of social systems)
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