Statistical properties of epidemic on complex networks with given degree distribution

LAN Guo-lie

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Journal of Guangzhou University(Natural Science Edition) ›› 2018, Vol. 17 ›› Issue (3) : 1-5.

Statistical properties of epidemic on complex networks with given degree distribution

  • LAN Guo-lie
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Abstract

This paper studies the threshold characteristic of epidemic on complex networks with given degree distribution and obtains the critical condition for a major outbreak of epidemic. In a minor outbreak situation, we derive the distribution and the mean size of connected branch of such network. We also obtain the scale of a major outbreak, i.e. the ratio of the number of vertices in a huge branch to the total number of vertices in the network.

Key words

complex network / SIR model / major outbreak / minor outbreak

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LAN Guo-lie. Statistical properties of epidemic on complex networks with given degree distribution. Journal of Guangzhou University(Natural Science Edition). 2018, 17(3): 1-5

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