Table 1.

Definition of the symbols used in the expression for ${\mathcal{R}}_v$ and in analyses.

Symbol	Description	Type I mortality	Type II mortality
ξi	Probability of becoming infectious while in age group i	α/(α + θi + ρ)	α/(α + θi + μi + ρ)
pi	Probability of aging while infectious from age group i to group i + 1	θi/(γ + θi + ρ)	θi/(γ + θi + μi + ρ)
qi	Probability of aging while incubating (in the latent or exposed class) from age group i to group i + 1	θi/(α + θi + ρ)	θi/(α + θi + μi + ρ)
${\tau }_i^E$	Aging and/or death adjusted mean latent period in age group i	1/(α + θi + ρ)	1/(α + θi + μi + ρ)
${\tau }_i^I$	Aging and/or death adjusted mean infectious period in age group i	1/(γ + θi + ρ)	1/(γ + θi + μi + ρ)
Pks	Probability of aging from group k to s while infectious (Pkk = 1)	${\prod }_{j=k}^{s-1}{p}_j$, s > k	Same
Qks	Probability of aging from group k to s while incubating (in the latent or exposed class) (Qkk = 1)	${\prod }_{j=k}^{s-1}{q}_j$, s > k	Same
Aij	Proportion of effective contacts with group i by an infectious person infected while in group j	See (10)	Same

Note: i, j, k, s = 1, 2, …, n.