Fig. 4: Comparison of simulation results with predictions from PA analysis and mean-field theory for the MR model.
From: Non-Markovian recovery makes complex networks more resilient against large-scale failures
a Time evolution of the fraction of inactive nodes. The initial conditions are [X]0 = [Y]0 = 0. The parameter values are β1 = 0.009, β2 = 2.0, μ1 = 0.01, and μ2 = 1.0. Several time instants are marked to facilitate visualization of the time evolution in different stages: tO = 0, tA = 60, tB = 120.7, and tC = 480. b Phase diagram on the (β2 − β1) parameter plane. Other parameters are μ1 = 0.01, and μ2 = 1.0. c Dependence of βc on the initial value of [X]0, with [Y]0 = 0. The solid (dashed) curve is calculated by the PA (mean-field) theory, and the symbols are for simulation results obtained by averaging over 100 realizations.
