Analysis of a Delayed Epidemic Model with Pulse Vaccination
An epidemic model with time delays and pulse vaccination is investigated in this paper.We obtained the infection-free periodic solution of the impulsive epidemic system by using the the discrete dynamical system and the fixed point theory in poincare map.We proved that the globally attractive of the infection-free periodic solution when(R)0＜1.Furthermore,we obtained the disease was faded out under appropriate conditions and the vaccination rate was larger than ρ*,or the latent period was larger than＞ω*,or the time was less than τ*,the results are illustrated and corroborated with some numerical experiments.The permanence of the model is investigated analytically.
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