Density of infected nodes i(t) as a function of time t for (a) different values of the spreading rate , (b) different values of the packet-generation rate , and (c) different values of the average connectivity . For (a), and ; For (b), and ; For (c), and . The insets show the evolution of i(t) in the early times.
Comparison between numerical and theoretical values of the characteristic time : (a) versus the spreading probability for and , (b) versus the packet-generation rate for and , and (c) versus the average connectivity for and . The theoretical values are calculated from Eq. (6).
Average degree of the newly infected nodes as a function of time for different values of the average connectivity . The spreading and packet-generation rates are and , respectively.
Density of infected nodes i(t) as a function of time t for C = 10 and . The average connectivity is , the spreading probability is and the packet-generation rate is . For C = 10, the critical packet-generating rate is . The inset shows the evolution of i(t) at the initial stage of epidemic spreading.
For the two cases where the capacity parameter C is infinite and finite (C = 10), the characteristic time as a function of the packet-generation rate . Other parameters are and . For C = 10, the critical packet-generating rate is . Line represents the theoretical prediction [Eq. (6)].
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