| In this paper, the well-posedness of the non-lifelong immunity infectious diseases model is discussed, With analyzing the characteristic of some operators,a series of features about this model are presented.This paper is divided into two part.In the first part ,some preliminary background about those function coefficient of the model is given,and in the second part ,the well-posedness of the solution , the global existence and uniqueness ,the regularity and the continuous dependence on the initial values of the solution are presented. |