Before revision: In this article, taking into account distributed delay and multidimensional L\'evy disturbances, wepresent an exhaustive study on the dynamic of the Susceptible-Infected-Removed (SIR ) model . We aim to ameliorate the mathematical tools to obtain the long-run characteristics of the perturbed delayed model.
After revision: In this article, taking into account distributed delay and multidimensional L\'evy disturbances, wepresent an exhaustive study on the long-run characteristics of the perturbed delayed model.