The SIR Model with Vertical Transmission and Impulsive Vaccination

摘要

In this paper, a impulsive vaccination strategy to eradicate epidemic was studied. Since infection age and vertical transmission are two important factors of epidemic progression. We incorporate the infection age into the model. We derive the condition in with eradication solution is a global attractor. This condition depends on plus vaccination proportion, vertical transmission rate , and inter impulsive time T.