Fig. 4. Fraction of links removed for total epidemic containment on synthetic networks.
We show the fraction of links that have to be removed to obtain total epidemic containment using link epidemic importance, compared with the fractions for the other four strategies: (A) eigenscore, (B) edge betweenness, (C) node infectivity, and (D) random removal. Each point represents a configuration consisting of a network and a set of epidemic parameters. The networks have been generated with the model in (48), which interpolates between ER (α = 1) and BA networks (α = 0). We use four values of the interpolating parameter: α = 0.0, 0.33, 0.67, and 1.0. These networks are generated in four sizes (N = 1000, 2500, 5000, and 10, 000) and three average degrees (〈k〉 = 4, 8, and 16), thus amounting to 48 different networks. For each network, we apply the five containment strategies for three different values of the recovery probability (μ = 0.25, 0.50, and 0.75) and four values of the infection probability β selected such that, before removing links, the incidence of the epidemics at the stationary state is equal to ρini = 0.05, 0.1, 0.2, and 0.4. Therefore, each plot contains 576 different configurations.