Fig. 1From: Direct and indirect effects of influenza vaccination a-b SIR model describing the transmission of infection in a population (S: susceptible, I: infectious, R: immune, V vaccinated). a Standard SIR model where a fraction v is vaccinated at birth and immediately becomes immune. b Modified SIR model with vaccinees who can become infected. Parameters: per capita birth and death rate μ, contact rate β, recovery rate γ, population size N. The full model description is given in the Additional file 1 Back to article page