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Table 1 MSIR transmission model parameters, values, and sources

From: Effects of an ageing population and the replacement of immune birth cohorts on the burden of hepatitis A in the Netherlands

Parameter

Value

Reference

α – rate of loss of maternal immunity

1/α = 9 months

Lieberman et al. [13]

Ψ – proportion of babies born with maternal immunity

0.13 (males) 0.17 (females)

Pienter study (de Melker et al.[11]; van den Hof et al.[12])

γ – rate of recovery from infection

1/ γ = 5 weeks

Leach [10]

ϕ – proportion of travel-related cases (used during fitting only)

0.356

van der Eerden et al. [8]

βdom,a (t) – transmission rate (domestic), t=2000, for age-groups {<1, 1–4, 5–9, 10–14, 15–19, 20–24, 25–29, 30–34, 35–39, 40–59, 60+}

{0.114,20.5,41.0,27.3,9.11, 0.114,0.114,0.455,6.83, 4.55,9.11}

Estimated

βtrav (t) – transmission rate (travel-related), t=2000, age-independent

0.0000505

Estimated

λa(t) – force of infection, age-group specific: sum of domestic and travel-related transmission: λdom,a(t)+ λtrav(t)

λ dom , a t = β dom , a t j I j t j N j t

λ trav (t) = β trav (t)

Srinivasa Rao et al. [18]

b – birth rate

Sex and year dependent; age group <1 only

Estimated from data held by Statistics Netherlands

η – net rate of demographic factors (mortality, immigration, emigration)

Sex, age-group, and year dependent

Estimated from data held by Statistics Netherlands