Table 1. Properties of six models.

model	contacts	active individual	outbreak threshold	equilibrium density of infected
1a	all neighbors	sender	vanish	same as Pastor-Satorras and Vespignani18
1b	all neighbors	receiver	vanish	lower than Model 1a
1c	all neighbors	hybrid	vanish	intermediate of 1a and 1b
2a	one neighbor	sender	finite	lower than Model 2b
2b	one neighbor	receiver	finite	same as well-mixed case
2c	one neighbor	hybrid	vanish