Before revision: Having suitable (approximate) explicit analytic solutions of the well known epidemic model SIR( D) would help in studying the data through easy fit. This paper provides an effective way .
After revision: Having suitable (approximate) explicit analytic solutions of the well known epidemic model SIR( D) epidemiological model is defined through transcendental equations not solvable by elementary functions. In the present paper, those equations are successfully replaced by approximate ones, whose solutions are given explicitly in terms of elementary functions, namely, piece-wisely, generalized logistic functions: they unveil a useful feature, that in fact is also owned by the (numerical) solutions of the exact equations .