Figure 3 | Scientific Reports

Figure 3

From: Cascading Failures in Interdependent Networks with Multiple Supply-Demand Links and Functionality Thresholds

Figure 3

Two random regular (RR) networks with P A (k) = P B (k) = δ k,5 and P sA (k) = P sB (k) = δ k,5 and system size N = 105 for different values of required supplies, \({k}_{sX}^{\ast }\) = 1 (), \({k}_{sX}^{\ast }\) = 2 (), \({k}_{sX}^{\ast }\) = 3 (), \({k}_{sX}^{\ast }\) = 4 (), as a function of the initial fraction of survived nodes p. Also shown two RR networks with P A (k) = P B (k) = δ k,5, but P sA (k) = P sB (k) = δ k,1, \({k}_{sX}^{\ast }\) = 1 (). The symbols are the results of the stochastic simulations and the lines are the iterated values obtained by equations (35). The dashed-dotted lines represent only the theoretical results since they have been obtained in Ref.11. In panels (a) and (b) we show the order parameter of network A and B, μ A and μ B , respectively for the giant component rule.

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