Table 1
Full list of notations used in the SEIR model.
| Notation | Definition | Surveillance | Value | Inferred |
|---|---|---|---|---|
| Variables | ||||
| Ne | Effective population size | No | 0 ~ 107 | Yes |
| S | Population size of susceptible individuals | No | 0 ~ 107 | Yes |
| E | Population size of exposed individuals | No | 0 ~ 104 | Yes |
| A | Population size of undetected asymptomatic carriers and undetected mild carries | No | 0 ~ 104 | Yes |
| I | Population size of obviously symptomatic infectious individuals without quarantine | No | 0 ~ 104 | Yes |
| Eq | Population size of quarantined exposed individuals | No | 0 ~ 104 | Yes |
| Aq | Population size of detected asymptomatic carriers and detected mild carries | No | 0 ~ 104 | Yes |
| Iq | Population size of quarantined infectious individuals with obvious symptom | Yes | − | No |
| R1 | Population size of quarantined removed individuals | Yes | − | No |
| R2 | Population size of removed individuals without quarantine | No | 0 ~ 104 | Yes |
| Parameters | ||||
| ρ | Fraction of quarantined susceptible individuals | 0.1 ~ 0.95 | Yes | |
| φ | Transmission probability of infectious individuals by contact | 10−6 ~ 10−3 | Yes | |
| β | Propagation coefficient of asymptomatic infectious individuals relative to infectious individuals | 0.1 ~ 0.9 | Yes | |
| ε | Propagation coefficient of exposed individuals relative to infectious individuals | 0.1 ~ 0.9 | Yes | |
| α | Rate of exposed individuals progressing to infectious state | 0.1 ~ 1 | Yes | |
| η | Fraction of exposed individuals progressing to symptomatic infectious state | 0.2 ~ 0.95 | Yes | |
| θ | Quarantine rate of symptomatic infectious individuals | 0.1 ~ 0.95 | Yes | |
| μ | Detection rate of asymptomatic infectious individuals | 0 ~ 1 | Yes | |
| γI | Removal rate of (unquarantined and obviously symptomatic) infectious individuals | 0 ~ 1 | Yes | |
| γA | Removal rate of unquarantined asymptomatic carriers and undetected mild carries | 0 ~ 1 | Yes | |
 |
Removal rate of quarantined infectious individuals with obvious symptom  |
0 ~ 1 | Yes | |
 |
Removal rate of detected asymptomatic carriers and detected mild carries | 0 ~ 1 | Yes | |
| χ | Binary indicator whether detected asymptomatic carriers are counted as confirmed cases | {0, 1} | No | |
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