Table 1. List of model parameters and their values.
Parameter | Variable | Mean value |
Birth rate | μ 0 | 0.000250 week−1 |
Death rate of | ||
Young children (<2 years) | μ 1 | 0.000112 week−1 |
Older children (2–15 years) | μ 2 | 0.000047 week−1 |
Adults (>15 years) | μ 3 | 0.000295 week−1 |
Infectious contact rate within | ||
Young children | β 11 | 0.9 week−1person−1 |
Older children | β 22 | 0.7 week−1 person−1 |
Adults | β 33 | 0.3 week−1 person−1 |
Infectious contact rate between | ||
Young and older children | β 12 | 0.68 week−1 person−1 |
Young children and adults | β 13 | 0.68 week−1 person−1 |
Older children and adults | β 23 | 0.68 week−1 person−1 |
Frequency of antibiotic exposure in 2002 among | ||
Young children | [α 00, α 10] | [0.046, 0.0065] week−1 |
Older children | [α 01, α 11] | [0.018, 0.0042] week−1 |
Adults | [α 02, α 12] | [0.0086, 0.0044] week−1 |
Vaccination rate of young children (<2 years) | v | 30% (2004)–90% (2007) |
Duration of vaccine immunity | dv | 13 years |
Probability of non-decolonization after 4 days of | ||
Penicillin for carriers of SP, IP and RP pneumococci | [σ 0, σ 1, σ 2] | [0.05, 0.35, 0.6] |
Macrolide for carriers of SM and RM pneumococci | [σ 3, σ 4] | [0.03, 0.62] |
Ketolide for carriers of SK and RK pneumococci | [σ 5, σ 6] | [0.03, 0.62] |
Probability of incremental resistance of | ||
β-Lactams, S→I, S→R and I→R | [p 0, p 1, p 2] | [0.0125, 1.5×10−6, 5×10−5] |
Macrolides, S→R | p 3 | 0.011 |
Ketolides, S→R | p 4 | 0.01 |
Time until treatment acts | 1/ν | 4 days |
Duration of antibiotic exposure | 1/γ | 8 days |
Duration of colonization of | ||
Young children | 1/λ 1 | 9 weeks |
Older children | 1/λ 2 | 4 weeks |
Adults | 1/λ 3 | 2 weeks |
NOTE. S, susceptible; I, intermediate; R, resistant.