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Epidemic-spreading model for networks with different anti-attack abilities of nodes and nonuniform transmission of edges

Song Yu-Rong Jiang Guo-Ping

Epidemic-spreading model for networks with different anti-attack abilities of nodes and nonuniform transmission of edges

Song Yu-Rong, Jiang Guo-Ping
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  • Received Date:  02 January 2010
  • Accepted Date:  06 February 2010
  • Published Online:  15 November 2010

Epidemic-spreading model for networks with different anti-attack abilities of nodes and nonuniform transmission of edges

  • 1. College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Abstract: With considering different anti-attack abilities of nodes and nonuniform transmission of edges in real networks, an SIR model is proposed to investigate the threshold behaviors of epidemic in scale-free networks based on the mean-field theory. In the proposed model, a vulnerability function related to node degree is introduced to describe the diversity of nodes’ anti-attack abilities, and a transmission function related to node degree is also introduced to describe the nonlinear infectivity of nodes. Theoretical analyse and numerical simulations show that the diversity of node anti-attack ability and the nonuniform transmission of diseases on edges can yield a positive epidemic threshold,meaning that the risk of epidemic prevalence is reduced.

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