. Author manuscript; available in PMC: 2019 Mar 15.

Published in final edited form as: Stat Med. 2017 Nov 28;37(6):970–982. doi: 10.1002/sim.7558

Table 1.

Model Parameters

Parameter	Definition
i	Index over people, where i = 1, … , N
j	Index of infection status on a given day: (0=escaped infection (susceptible), 1=made an infectious contact on this day, 2=made an infection contact before this day).
υ_id	Vaccination status of person i on day d. Also denoted at υ (0=unvaccinated, 1=vaccinated)
β_υ	Daily transmission probability from an infectious household member to a susceptible with vaccination status υ = 0, 1
γ_υ	Daily transmission probability from infectious community contacts to a susceptible with vaccination status υ = 0, 1
m_id	The number of infectious persons in the household of person i on day d
p(d)	The prevalence of influenza infection on day d
π_{i jd}	Conditional probability that person i has infection status j on day d given that s/he was susceptible on the previous day
ψ_{i jd}	Unconditional probability that person i has infection status j on day d
γ_{i H}	Probability that person i was infected from a household contact by the end of the study
γ_iC	Probability that person i was infected from a community contact by the end of the study