It depends on the model that you are modifying and upon the way the vaccine works (and also is applied).
In the simplest case of an ODE-based model (like classical SIR models) and life-long 100% protection for the vaccinated people (who are vaccinated at birth) the vaccination (or more precisely, vaccinated) compartment is an additional compartment that accumulates a given fraction of newborns entering the model population.
If the vaccine protection is not life-long there may be a decay rate added which results in moving a fraction of vac.compartment's population into susceptible compartment. If vaccine gives only partial protection the vaccinated compartment acts like another susceptible compartment but with lower infection rate. And so on...
In the case of age-structured models (and age structured vaccination schemes) the situation becomes more technically complicated, although the main principle remains the same.
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