Table 1.

Summary statistics. Peak time is the number of days elapsed after the initial infection. For each simulation run, we calculate the peak value and peak time of active cases. In the table, median values are associated with interquartile ranges. The attack rate is calculated as $\mathrm{cumulative}\hspace{0.17em}\mathrm{infections}/$ $(\mathrm{total}\hspace{0.17em}\mathrm{population}\times (1-\alpha \times \mathrm{immunization}\hspace{0.17em}\mathrm{effectiveness}))$.

initial immunity level α	peak value of active cases (%)	peak time (days) of active cases	cumulative infections (%)	attack rate (%)
50%	1.57 (1.25–1.93)	120 (96–152.5)	15.53 (13.92–17.02)	23.90 (21.42–26.18)
60%	0.65 (0.31–0.92)	102 (65–148)	7.01 (3.37–9.23)	12.08 (5.82–15.91)
70%	0.21 (0.15–0.35)	35 (11–84)	1.42 (0.66–3.12)	2.79 (1.30–6.12)
80%	0.15 (0.13–0.18)	11 (7–23.5)	0.56 (0.39–0.93)	1.27 (0.89–2.11)
90%	0.13 (0.12–0.15)	8 (6–11)	0.37 (0.50–0.28)	1.00 (0.77–1.36)
100%	0.13 (0.12–0.13)	6 (5–9)	0.26 (0.22–0.32)	0.86 (0.72–1.08)