Figure 7. Complex networks.

Simulated and fitted distributions of invader fixation times for Birth-death dynamics on small-world, scale-free, and $k$-regular networks. All distributions were normalized to have mean zero and unit variance. The curves indicate non-central lognormals fitted to the first three moments of the data. All distributions are the result of ${10}^6$ simulations. The figures in the top row ((a), (b), (c)) used invader fitness $r=\mathrm{\infty }$, whereas the figures in the bottom row ((d), (e), (f)) used neutral fitness $r=1$. (a) Newman-Watts-Strogatz small-world ring network with shortcut probability of $\rho =0.25$ on $N=75$. (b) Random 3-regular graph on $N=100$ nodes. (c) Barabasi-Albert scale-free network with a minimum degree of 3 and $N=100$ nodes. (d) Newman-Watts-Strogatz small-world ring network with shortcut probability of $\rho =0.25$ on $N=25$ nodes. (e) Random 3-regular graph on $N=22$ nodes. (f) Barabasi-Albert scale-free network with a minimum degree of 3 and $N=22$ nodes.