The Global Attractivity of a New delay SEIR Epidemic Disease Model with Vertical Transmission and Pulse Vaccination

In this paper, we formulate a robust SEIR epidemic disease model with a profitless delay and vertical transmission, and analyze the dynamical behaviors of the model under pulse vaccination. By using of the discrete dynamical system determined by the stroboscopic map, we obtain an "infection-free"periodic solution, further, show that the "infection-free" periodic solution is globally attractive when some parameters of the model are under appropriate conditions. Our results indicate that the delay is "profitless".