Figure 8. Results of local immunization methods on synthetic networks.

Final sizes of SIR epidemics after immunization of various fractions ε of nodes on synthetic networks with M = 4 and an heterogeneous degree distribution (details in SI). Near the epidemic threshold, targeting by degree (dotted curves) is the better choice whereas targeting by memberships (solid curve) should be preferred for higher transmissibility. Monte Carlo simulations were also performed to validate the formalism and indicated on the curves (the case ε = 0.05 is omitted not to clutter the graph) with circles (targeting by degree) and squares (targeting by membership).