Table 1.

Illustration of some strategies with their specific weights, herd-immunity threshold, relative effectiveness and mean effectiveness of strategies.

	Strategy	Vaccines (effectiveness)						$p_{\mathrm{S}}^c$	$\epsilon (\mathrm{S})$	${\overline{E}}_{\mathrm{S}}$
		$V_1(0.80)$	$V_2(0.85)$	$V_3(0.90)$	$V_4(0.94)$	$V_5(0.95)$	$V_6(0.95)$
Single-vaccine strategies	${\mathrm{S}}_{V_1}$	1	0	0	0	0	0	0.750	0.000	0.80
	${\mathrm{S}}_{V_2}$	0	1	0	0	0	0	0.706	0.373	0.85
	${\mathrm{S}}_{V_3}$	0	0	1	0	0	0	0.667	0.704	0.90
	${\mathrm{S}}_{V_4}$	0	0	0	1	0	0	0.638	0.943	0.94
	${\mathrm{S}}_{V_5}$	0	0	0	0	1	0	0.632	1.000	0.95
	${\mathrm{S}}_{V_6}$	0	0	0	0	0	1	0.632	1.000	0.95
Multi-vaccine strategies	${\mathrm{S}}_A$	1/6	1/6	1/6	1/6	1/6	1/6	0.671	0.672	0.895
	${\mathrm{S}}_B^1$	0.13	0.15	0.17	0.18	0.19	0.19	0.667	0.691	0.898
	${\mathrm{S}}_B^{10}$	0.04	0.08	0.15	0.23	0.25	0.25	0.650	0.850	0.924
	${\mathrm{S}}_B^{20}$	0.01	0.03	0.10	0.25	0.30	0.30	0.640	0.926	0.937
	${\mathrm{S}}_C^1$	0.12	0.15	0.17	0.18	0.19	0.19	0.665	0.722	0.903
	${\mathrm{S}}_C^{10}$	0.01	0.03	0.11	0.25	0.30	0.30	0.640	0.926	0.937
	${\mathrm{S}}_C^{20}$	0.00	0.00	0.05	0.25	0.35	0.35	0.635	0.966	0.944
	${\mathrm{S}}_D^1$	0.05	0.10	0.14	0.19	0.26	0.26	0.650	0.838	0.922
	${\mathrm{S}}_D^{10}$	0.00	0.00	0.00	0.02	0.49	0.49	0.632	1.000	0.950
	${\mathrm{S}}_D^{20}$	0.00	0.00	0.00	0.00	0.50	0.50	0.632	1.000	0.950