A stochastic SIR epidemic on scale-free network with community structure

Huiling Zhang, Zhi-Hong Guan, Tao Li, Xian-He Zhang and Ding-Xue Zhang

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 4, 974-981

Abstract: The scale-free degree distribution and community structure are two significant properties shared by numerous complex networks. In this paper, we investigate the impact of these properties on a stochastic SIR epidemic which incorporates the stochastic nature of epidemic spreading. A two-type branching process is employed to approximate the early stage of epidemic spreading. The basic reproduction number R0 is obtained. And the influences of scale-free property and community structure on R0 are analyzed by numerical simulations.

Keywords: Scale-free network; Community structure; Stochastic epidemic; Basic reproduction number (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:4:p:974-981

DOI: 10.1016/j.physa.2012.10.016

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