Figure 1. Accumulated output excitations during a fixed duration T = 40 steps, for a given ER graph (N = 80 nodes; M = 320 edges), a single (randomly chosen) input node and a single output node (randomly chosen among the most distant nodes from the input node), as a function of the inverse 1/κ of the relative threshold.

The plot displays both the deterministic dynamics (p = 1, red dashed curve) and the case where the recovery is stochastic (p = 0,5; heat map overlay of 30 curves, and as a blue full curve the average over the 30 simulation runs entering the heat map. Initially all nodes were susceptible. Transition points A, B and level reached, C, are indicated, and their prediction in terms of network features is discussed in the corresponding sections below.