Fig. 1.

The effects of the structure of population. We plot $R_0$ and $R\left(\infty \right)$ as functions of $\langle \beta \rangle$ and $\langle {\gamma }^{-1}\rangle$. Here, $m=n=30$, and individual degree satisfies power-law distribution with exponent $\mu =2.5$ and $M=100$. Individual susceptibility and course of disease follow Poisson distributions in the top two panels and power-law distributions in the bottom two panels.