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. 2011 Mar 31;6(3):e17823. doi: 10.1371/journal.pone.0017823

Figure 4. Simulation of the stochastic model.

Figure 4

The model is given by Eq. (3), with Inline graphic and p = 0.85. Initial condition: there are only one country with y(t = 0)  =  1. (A) Temporal evolution of the total number of confirmed cases, Y(t), on mono-log scale, for time steps from 1 to 70. The solid line is given by Inline graphic, with λ = 0.05. (B) Temporal evolution of the total number of countries with confirmed cases, W(t), for the same time steps. The solid line is Inline graphic. (C) Cumulative distribution, R(y), for t = 10 steps (squares), t = 30 (up triangles), t = 50 (down triangles) and t = 70 (circles). For comparison, we show a power law given by Eq. (1), for t = 10, and a lognormal curve given by Eq. (2) for t = 10 steps.