Table 1. Model parameters given with their descriptions, constrained ranges, and prior distributions.
Notation | Description | Constained range or definition | Prior distribution ‡ |
---|---|---|---|
Basic reproduction number of the primarily infected population | 0 − ∞ | ||
rc | Reduction in infectiousness due to being chronic | 0%–100% | Fixed to a different value for each simulation. |
Basic reproduction number of the chronically infected population | Conditioned on and rc. | ||
rL | Effect of lockdown in reducing infectiousness | 0%–100% | rL ∼ β(1, 1) |
mL | Slope of reduction in infectiousness due to lockdown | 0.5–1.5 | mL ∼ 0.5 + β(1, 1) |
sL | Time lag of reduction in infectiousness due to lockdown | 0 − ∞ | sL ∼ exp(1/5) |
rlock(t) | Time dependent effect of the lockdown on the transmission rate | Given by Eq 2 | Conditioned on rL, rc, mL, and sL. |
1/τ | Duration of the latent period | 0 − ∞ | τ ∼ exp(1/2.5) |
1/γp | Duration of infection of Ip | 0 − ∞ | γp ∼ exp(1/2.5) |
1/γc | Duration of infection of Ic | 0.01-20 days | Fixed to a different value for each simulation. |
βp | Transmission rate of Ip | Given by Eq 3 | Conditioned on rlock(t), R0, and γp. |
βc | Transmission rate of Ic | Given by Eq 4 | Conditioned on rlock(t), R0, γc, and rc. |
1/γH | Duration of hospital ward stay | 0 − ∞ | γH ∼ exp(1/12) |
1/γICU | Duration of ICU stay | 0 − ∞ | γICU ∼ exp(1/12) |
ϵH | Rate of direct H admission | 0 − ∞ | |
ϵH2I | Transfer rate from H to ICU | 0 − ∞ | |
ϵx | Death rate from ICU | 0 − ∞ | |
Diagnosis rate of Ip | 0 − ∞ | ||
Diagnosis rate of Ic | 0 − ∞ | ||
R0 | Total basic reproduction number | Conditioned on , and ϵH. | |
E(0) | Initial frequency of the exposed compartment | 0%–100% | |
S(0) | Initial frequency of the susceptible compartment | 1 − E(0)* | Conditioned on E(0) |
N | Population size | − | Fixed specific to the country used for fitting. |
* All other compartments (Ip, Ic, H, ICU, R, and X) are assumed to be zero at t = 0, and the first case is assumed to be observed at t = 1.
‡ , β, exp denotes the Normal, Beta, and Exponential distributions respectively.