A SVEIR model with Imperfect Vaccine

International audience; We consider a SVEIR model with standard mass action and differential death rates for each compartment, susceptible individuals S, vaccinated V , exposed E, infectious I and permanently removed R. The susceptible population is increased by the net in-flow (recruitment) of individuals into the region, either by birth or immigration. We assume that a proportion of newborn are vaccinated at birth, the remainder enter the S compartment. Each subpopulation is decreased by death, the death rate being specific to each compartment. Susceptible individuals (regardless of whether they have been previously vaccinated) are further vaccinated at the rate p.