Epidemic threshold and phase transition in scale-free networks with asymmetric infection

Interdisciplinary Physics

Abstract.

We study the SIS epidemic dynamics on scale-freeweighted networks with asymmetric infection, by both analysis andnumerical simulations, with focus on the epidemic threshold aswell as critical behaviors. It is demonstrated that the asymmetryof infection plays an important role: we could redistribute theasymmetry to balance the degree heterogeneity of the network andthen to restore the epidemic threshold to a fnite value. On theother hand, we show that the absence of the epidemic threshold isnot so bad as commented previously since the prevalence grows veryslowly in this case and one could only protect a few vertices toprevent the diseases propagation.

PACS.

89.75.-k Complex systems 89.75.Hc Networks and genealogical trees 

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Copyright information

© Springer 2008

Authors and Affiliations

  1. 1.Department of Electronic Science and TechnologyUniversity of Science and Technology of ChinaAnhuiP.R. China
  2. 2.Centre for Chaos and Complex Networks and Department of Electronic EngineeringCity University of Hong KongHong Kong SARP.R. China

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