Table 1.

Notation summary.

infectivity process and infectivity function	λ = {λ(t)}t≥0, β
infectiousness process	X = {X(t)}t≥0
contact process	C = {C(t)}t≥0
contact rate before and after symptom onset/detection	C1, C2
time of contact activity reduction and its conditional rate	$\tau ,{\alpha }_{\tau }$
time of symptoms onset, its conditional rate and corresponding parameter	TS, αS, aS
probability of asymptomatic infection	pasy
time of detection and its conditional rate	TD, αD
time of screening and its rate	Tscre, αscre, σ
time of contact tracing and its conditional rate	TCT, αCT
probability of successful contact tracing	p
other quantities related to contact tracing	αCT1, f, αCT2, aCT2, d
reduction fractions of contacts and transmission	ρC, ρX
reduction fractions due to vaccination	ρV
and to isolation of symptomatic and detected individuals	ρS, ρD
fraction of vaccinated individuals	v
relative susceptibility (vaccination response)	A, a
relative infectivity (vaccination response)	B, b