%0 Journal Article %A Bai, Liang %A Nieto, Juan J. %A Uzal Couselo, José Manuel %T On a delayed epidemic model with non-instantaneous impulses %D 2020 %@ 1553-5258 %U https://hdl.handle.net/20.500.14352/100589 %X We introduce a non-instantaneous pulse vaccination model. Non-instantaneous impulsive nonlinear differential equations provide an adequate biomathematical model of some medical problems. In this paper we study some basic properties such as the attractiveness of the infection-free periodic solution and the permanence of some sub-population for a vaccine model where a constant fraction of the susceptible population is vaccinated in some periodic way. Our model is a system of nonlinear differential equations with impulses. %~