The SEIRH model requires a specification of how infection is transmitted within households, as well as data on household size and the number of school children in households. Within-household transmission is assumed to proceed according to a Reed-Frost model; see Bailey (1975). When necessary a force of infection from outside the household is added; see Longini and Koopman (1982), Addy et al. (1991).

Household data from the Australian 2001 census are used. These are shown in Table 2.2. Note that about 27% of households contain at least one school-age child.


      Number of school children (nC)
    Household size (n) 0 1 2 3 4 5 6
    1
    236
    -
    -
    -
    -
    -
    -
    2
    317
    18
    -
    -
    -
    -
    -
    3
    110
    42
    14
    -
    -
    -
    -
    4
    51
    43
    61
    5
    -
    -
    -
    5
    13
    15
    22
    24
    1
    -
    -
    6
    4
    4
    7
    7
    6
    0
    -

    Table 2.2 Number (per 1000) of households that are of size n and include nC school children.

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