Table 1 Transition rules for stochastic SIR model
From: Forecasting infectious disease emergence subject to seasonal forcing
| Event | (Δ S,Δ I,Δ R) | Rate |
|---|---|---|
| Birth of a susceptible | (1,0,0) | μ N 0 |
| Death of a susceptible | (−1,0,0) | μ S |
| Infection | (−1,1,0) | \(\frac {\beta S I}{N} + \xi S\) |
| Death of an infective | (0,−1,0) | μ I |
| Recovery of an infective | (0,−1,1) | γ I |
| Death of a removed | (0,0,−1) | μ R |