Editing Compartmental models (epidemiology) (section)

===Vaccination of non-newborns===
In case there also are vaccinations of non newborns at a rate ρ the equation for the susceptible and vaccinated subject has to be modified as follows:

:<math>
\begin{align}
\frac{dS}{dt} & = \mu N (1-P) - \mu S - \rho S - \beta \frac{I}{N} S \\[8pt]
\frac{dV}{dt} & = \mu N P + \rho S - \mu V
\end{align}
</math>

leading to the following eradication condition:

:<math> P \ge 1- \left(1+\frac{\rho}{\mu}\right)\frac{1}{R_0}  </math>