PMID: 15244665Jul 13, 2004Paper

Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Jaewook Joo, Joel L Lebowitz

Abstract

We investigate saturation effects in susceptible-infected-susceptible models of the spread of epidemics in heterogeneous populations. The structure of interactions in the population is represented by networks with connectivity distribution P(k), including scale-free (SF) networks with power law distributions P(k) approximately k(-gamma). Considering cases where the transmission of infection between nodes depends on their connectivity, we introduce a saturation function C(k) which reduces the infection transmission rate lambda across an edge going from a node with high connectivity k. A mean-field approximation with the neglect of degree-degree correlation then leads to a finite threshold lambda(c) >0 for SF networks with 2<gamma</=3. We also find, in this approximation, the fraction of infected individuals among those with degree k for lambda close to lambda(c). We investigate via computer simulation the contact process on a heterogeneous regular lattice and compare the results with those obtained from mean-field theory with and without neglect of degree-degree correlations.

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Citations

Feb 5, 2013·Bulletin of Mathematical Biology·Prapanporn RattanaIstvan Z Kiss
Dec 19, 2013·PLoS Computational Biology·Christel KampSamuel Alizon
Nov 5, 2014·Mathematical Biosciences and Engineering : MBE·Zhen JinHuaiping Zhu
Mar 29, 2007·The New Phytologist·Mike J JegerMike W Shaw
Jul 7, 2012·Journal of Theoretical Biology·Mathieu Moslonka-LefebvreSamuel Alizon
Oct 4, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chuansheng ShenZhonghuai Hou
Jan 13, 2015·Mathematical Modelling of Natural Phenomena·P RattanaI Z Kiss
Sep 19, 2016·Journal of Mathematical Biology·Mengfeng SunXinchu Fu
Jan 1, 2009·Frontiers of Computer Science in China·Zonghua LiuPak-Ming Hui
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C de KerchoveV D Blondel
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xinchu FuHaifeng Zhang
Sep 30, 2020·Mathematical Biosciences and Engineering : MBE·Jun Bo JiaXin Chu Fu

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