Comparison of Epidemic properties in sparse-strong and dense-weak styles of weighted community networks.

<p>(A) average epidemic size (i.e., density of infected nodes) as a function of recovery rate <i>γ</i>; (B) average epidemic speed (i.e. the ratio of total infected nodes to total epidemic steps) as a function of recovery rate <i>γ</i>; (C) average value of the epidemic entropy as a function of time steps; and (D) average number of infected communities (it has at least one infected node at a time) as a function of time steps. The network parameters are: <i>N</i> = 20, <i>M</i> = 50, <i>d_I</i> = 4, <i>d_E</i> = 0.04 or 1, <i>v</i> = 0.5 and <i>w</i> = 0.49 or 0.02. The modularity <i>Q</i> = 0.94 for both mixing styles. The recovery rate <i>γ</i> = 0.35 in (C) and (D). Solid curves represent sparse-strong style networks and dashed curves represent dense-weak style networks. The vertical lines indicate the appearing time of maximal value of average epidemic entropy and number of infected communities in C and D.