Information Propagation in Online Social Network Based on Human Dynamics

Figure 3

(a) The average number of newly infected individuals 𝑛(𝑡). Power-law distributions 𝑝(𝜏) with exponent 𝛼=2.8 (Squares), 𝛼=2.5 (circles), 𝛼=2.2 (up triangles), and the exponential 𝑝(𝜏) (down triangles). All 𝑝(𝜏) have the same mean interactive time ⟨𝜏⟩=1.96. (b) The generation time distribution 𝑔(Δ) for all 𝑝(𝜏). In both panels, the black lines have slopes −1.8, −1.5, and −1.2. The results show that 𝑛(𝑡) and 𝑔(Δ) decay as a power law with the exponent 𝛽≈𝛼−1. In the exponential case, 𝑛(𝑡) decays fast, in stark contrast to the power-law case. The results are the average over 2×10³ independent runs.

(a)

(b)