Epidemic Percolation Networks, Epidemic Outcomes, and Interventions

Figure 1

Schematic diagram of the giant components of an EPN. Note that the GIN and GOUT both include the GSCC. Tendrils are directed paths out of the GIN or into the GOUT that do not enter or leave the GSCC; a tube is a tendril that goes from the GIN to the GOUT. An initial infection in the GIN will lead to the infection of the entire GOUT (including the GSCC). If the initial infection is outside the GSCC, it will also infect a few tendrils or tubes and a few nodes in the GIN outside the GSCC. Since these are small components, their existence does not affect the calculation of the asymptotic probability and attack rate of a major epidemic. Adapted from [19].