Stochastic SIR model
There is also a
simplified version
.
Event rates
Infection: \(\beta \cdot I \cdot \frac{S}{N - 1}\)
\(\quad\implies\quad\)
Recovery: \(\gamma \cdot I\)
\(\quad\implies\quad\)
Parameters
R
0
:
\(\quad\implies\quad\beta\):
Infectious period \(\left(\frac{1}{\gamma}\right)\):
\(\quad\implies\quad\gamma\):
Population size \(\left(N\right)\):
Outbreak
Random events
Extinction
Take-off
Start outbreak
Next event
Run to end
