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. 2013 Jul 25;8(7):e68940. doi: 10.1371/journal.pone.0068940

Table 1. Parameter Values.

Symbol Description S. pneumo value S. aureus value Flu value
β Transmission rate/week 0.4167 (based on 30–50% prevalence [58]) 0.0893 (based on 30% prevalence [41]) Varies by age, see [2]
τ Treatment rate/week 0.02 (lower end of childhood antibiotic prescribing range [59]) 0.0003, 0.0017, 0.0033 (10, 50, and 100% respectively of MSSA-active antibiotic prescriptions per person per week in the U.S., weighted by ages in 2010 census data [33]) 40% of infections are treated
u Clearance rate/week 0.25 (duration of 30 days [60], [61]) 0.01, 0.02, 0.04 (duration of 175–700 days [56], [57]) 2.1 (duration of 3.3 days)
p Proportion of population that is vaccinated 0.8 (well below U.S. childhood vaccination rates [62]) Range: 0–1 0.4
VE Vaccine efficacy (overall) Range: 0–1 n/a 59% (effects on infectiousness neglected)
θ or VER Additional vaccine efficacy against resistant strain (θ, S. pneumo, Flu) or total vaccine efficacy against resistant strain only (VER, S. aureus) Range: 0–1 Range: 0–1 Range: 0–20%
ψ Fitness cost Range: 0, 0.08 (estimated based on in vitro data [36]) 0.02, 0.04, 0.08 (range of fitness costs in field strains [34]) 0