Symbol | Definition | HIV neg | HIV pos |
---|---|---|---|
Birth rate g | births/year/person | 0.03c | 0c,h |
N | population size | 0.821i | 0.179i |
T | births per year = birth rate×N c |  |  |
λ g | infection rate | 1.81×10−3 m | 2.96×10−3 m |
K k | # respiratory contacts with infected/person/year | Â | Â |
L k | probability that respir. contact with infectious source leads to infection | Â | Â |
KL |  | 5–15a |  |
Y k | # infectious cases in population | Â | Â |
μ g | non-TB death rate | 0.009c | 0.05c |
p | proportion of new infections entering slow breakdown | 0.9 (0.85–0.95)a | 0.4 (0.3–0.5a) |
β F g | fast breakdown rate | 2c | 3 |
β S g | slow breakdown rate | 0.001 (5–15×10−4 a) | 0.075 (0.05–0.10a) |
χ g | rate of application of INH to infected individuals | 0.75 (ℓ) |  |
ν | protection from superinfection conferred by primary infection | 0.75 (0.5–1a) |  |
w | short-term INH effectiveness | 0.7 | Â |
h | long-term INH effectiveness | 0.7 | Â |
d i,j | proportion of pre-diagnosed cases in clinical category i entering diagnosis category j | Â | Â |
d 1,1 |  | 0.45 (0.4–0.5)j | 0.35 (0.3–0.4)j, e |
d 2,1 |  | 0.55 (0.5–0.6) | 0.65 (0.6–0.7) e |
d 3,1 | Â | Â | e |
d i,2 |  | d i,2=1−d i,1 | f |
s i | proportion of new cases in clinical category i | Â | Â |
s 1, s 2 | proportion of new cases in clinical category i | 0.45 (0.4–0.5a) |  |
s 3 | proportion of new cases in clinical category i | s 3=1−s 1−s 2 d |  |
δ j g | diagnosis rate for category j | 0.6 ℓ | 0.6 ℓ |
σ g | smear conversion rate | 0.03 c |  |