. 2021 Jul 23;9:709369. doi: 10.3389/fpubh.2021.709369

Table 5.

Vaccine-induced herd immunity threshold ( $f_{v}^{c}$ ) for the U.S. for various levels of increases in baseline social-distancing compliance (c_s).

	Herd threshold	Herd threshold (%)	Herd threshold (%)	Herd threshold (%)
Vaccine name (efficacy)	c_s = 0 (baseline)	c_s = 5	c_s = 10	c_s = 30
AstraZeneca (ε_v = 70%)	$f_{v}^{c} = 80$	$f_{v}^{c} = 77$	$f_{v}^{c} = 73$	$f_{v}^{c} = 53$
Pfizer & Moderna (ε_v = 95%)	$f_{v}^{c} = 59 %$	$f_{v}^{c} = 56.4$	$f_{v}^{c} = 54$	$f_{v}^{c} = 39$

Parameter values used are as given in Tables 3, 4, with α₁₂ = α₂₁ = 0.