Spectral properties and the accuracy of mean-field approaches for epidemics on correlated networks

We present a comparison between stochastic simulations and mean-field theories for the epidemic threshold of the susceptible-infected-susceptible (SIS) model on correlated networks (both assortative and disassortative) with power-law degree distribution P(k)\sim k^{-\gamma} We confirm the vanishing of the threshold regardless of the correlation pattern and the degree exponent \gamma Thresholds determined numerically are compared with...