Epidemic spreading on scale-free networks with diversity of node anti-attack abilities

In this article,a modified susceptible-infected-removed(SIR) model is proposed to study the influence of diversity of node anti-attack abilities on the threshold of propagation in scale-free networks.In particular,a vulnerability function related to node degree is introduced into the model to describe the diversity of a node anti-attack ability.Analytical results are derived using the mean-field theory and it is observed that the diversity of anti-attack of nodes in scale-free networks can increase effectiv...