N1
|
Population of age group 1 (0–17) |
People |
73,000,000 |
1–100 million |
36 |
N2
|
Population of age group 2 (18–64) |
People |
191,000,000 |
1–250 million |
36 |
N3
|
Population of age group 3 (65+) |
People |
38,000,000 |
1–50 million |
36 |
|
Effective reproduction number (uncontrolled) for age group 1 (0–17) |
1 |
1.3 & 1.35 & 1.4 |
0–2 |
35; 32; 40; 29
|
|
effective reproduction number (uncontrolled) for age group 2 (18–64) |
1 |
1.25 & 1.3 & 1.35 |
0–2 |
35; 32; 40; 29
|
|
effective reproduction number (uncontrolled) for age group 3 (65+) |
1 |
1.2 & 1.25 & 1.3 |
0–2 |
35; 32; 40; 29
|
|
Average effective reproduction number (uncontrolled) |
1 |
1.25 & 1.3 & 1.35 |
0–2 |
35; 32; 40; 29
|
βkj |
Transmission rate from age group k to age group j
|
1 |
See Text |
0–1 |
See Text |
κkj |
Average number of contacts age group k has with age group j
|
|
See Text |
0–40 |
16 |
ξk |
Infectivity of age group k
|
1 |
See Text |
0–1 |
See Text |
ιj |
Susceptibility of age group j
|
1 |
1 |
0–1 |
8; 39
|
ω |
Incubation relative rate |
Day−1
|
0.25 |
0–1 |
35; 10
|
δ |
Non-hospitalized recovery relative rate |
Day−1
|
0.20 |
0–1 |
10 |
ν1
|
Hospitalized recovery rate relative for age group 1 (0–17) |
Day−1
|
|
0–1 |
27 |
ν2
|
Hospitalized recovery rate relative for age group 2 (18–64) |
Day−1
|
|
0–1 |
27 |
ν3
|
Hospitalized recovery rate relative for age group 3 (65+) |
Day−1
|
|
0–1 |
27 |
μ1
|
Death relative rate for age group 1 (0–17) |
Day−1
|
0.0000192 |
0–1 |
11; 32
|
μ2
|
Death relative rate for age group 2 (18–64) |
Day−1
|
0.0008224 |
0–1 |
11; 32
|
μ3
|
Death relative rate for age group 3 (65+) |
Day−1
|
0.00008102 |
0–1 |
11; 32
|
χ1
|
Hospitalization relative rate for age group 1 (0–17) |
Day−1
|
0.00435 |
0–1 |
11 |
χ2
|
Hospitalization relative rate for age group 2 (18–64) |
Day−1
|
0.00457 |
0–1 |
11 |
χ3
|
Hospitalization relative rate for age group 3 (65+) |
Day−1
|
0.0045 |
0–1 |
11 |
θ |
Reduced contacts due to hospitalization |
1 |
|
0–1 |
See Text |
α |
Reduced infectiousness due to incubation |
1 |
0.5 |
0–1 |
See Text |
ηi |
Decrease in infectivity because of mask |
1 |
0.20 |
0–1 |
24; 1
|
ηs |
Decrease in susceptibility because of mask |
1 |
0.50 |
0–1 |
24; 1
|
τ |
Number of infectious individuals at which masks are implemented |
People |
30,200 |
30,200 |
See Text |
ar |
Positive constant that determines the rate of movement between mask and non-mask classes |
1 |
0 |
0–1 |
See Text |
br |
Positive constant that determines the rate of movement between mask and non-mask classes |
1 |
0.1 |
0–1 |
See Text |
ϕr |
Movement rate between mask and non-mask classes, r = S, SM, E, EM, I, IM
|
1 |
See Text |
0–1 |
See Text, 13
|
I1/N1
|
Initially infected fraction of population of age group 1 |
1 |
|
0–1 |
15 |
I2/N2
|
Initially infected fraction of population of age group 2 |
1 |
|
0–1 |
15 |
I3/N3
|
Initially infected fraction of population of age group 3 |
1 |
|
0–1 |
15 |