Table 1. SIR, SEIR, SEAIR model parameters and values, R0, serial interval.
| (a) Model contact rate notation | ||||
| model | parameter | |||
| β | σ | ρ | γ | |
| SIR | S → I: βI(t)/N | I → R: γ | ||
| SEIR | S → E: βI(t)/N | E → I: σ | I → R: γ | |
| SEAIR | S → E: βI(t)/N | E → A: σ | A → I: ρ | I → R: γ |
| (b) Model parameters, R0, and serial interval | ||||
| model | θ | R0 = R0(θ) | serial interval | |
| SIR | (β, γ) | β/γ | 1/γ | |
| SEIR | (β, γ, σ) | β/γ | 1/γ + 1/σ | |
| SEAIR | (β, γ, σ, ρ) | β/γ + β/ρ | 1/γ + 1/σ | |
| (c) Parameter values for simulations | ||||
| model | influenza 1 | influenza 2 | COVID-19 | |
| SIR | (1/3, 1/5) | (1/3, 1/5) | (1/2, 5/26) | |
| SEIR | (1/3, 1/3, 1/5) | (5/9, 1/2, 1/3) | (13/11, 1/3, 5/11) | |
| SEAIR | (1/3, 1/3, 1/2, 1/5) | (5/12, 1/2, 1, 1/3) | (26/57, 1/3, 2/7, 5/11) | |