Table 2.

Notations and their meanings

Notation	Meaning
G(V, E, w)	A contact network
V, E	The sets of nodes, edges
w(u, v)	The contact duration of node u with node v on the day
p(w(u, v))	The probability of disease transmits from node u to node v during w(u, v)
τ (v)	The health states of node v during the epidemic period
tS→E (v)	The day when v becomes exposed
tS→I (v)	The day when v becomes infectious
tI→R(v)	The day when v becomes recovered
ΔtE (v)	Incubation period of node v
ΔtI (v)	Infectious period of node v
NR	Net return
Ci	The cost of an infected individual i
$C_k^{\mathit{vax}}$	The cost of vaccinating individual k
$\mathit{NPRC}(\overline{\mathit{NPRC}})$	Net return per capita (average net return per capita)
$\mathit{NPRD}(\overline{\mathit{NPRD}})$	Net return per dollar spent (average net return per dollar spent)
$\mathit{NPRV}(\overline{\mathit{NPRV}})$	Net return per vaccinated person (average net return per vaccinated person)
$\mathit{TNR}(\overline{\mathit{TNR}})$	Total net return (average total net return)
$\mathit{AR}(\overline{\mathit{AR}})$	Attack rate or cumulative infection rate (average attack rate)
$\mathit{DR}(\overline{\mathit{DR}})$	Death rate (average death rate)
$\mathit{HR}(\overline{\mathit{HR}})$	Hospitalization rate (average hospitalization rate)
$\mathit{OR}(\overline{\mathit{OR}})$	Outpatient rate (average outpatient rate)
$\mathit{IR}(\overline{\mathit{IR}})$	Ill but not seeking medical care rate (average ill rate)
CMPL	Compliance rate for vaccination
$\mathit{DC}(\overline{\mathit{DC}})$	Death count (average death count)