In the path-integral framework we study a massive Thirring-like model in 2-dimensional space-time, which contains fermions with arbitrary number (N) of different species. This model is an extension of that of a previous paper (the Bukhvostov-Lipatov model), where we have considered two-species case. By this extensron we expect that we can expose more general structures of this kind of model. We obtain the equivalent boson model with N species to our fermion model by mass perturbation expansion. We see that the boson Lagrangian corresponds with the one which is directly obtained from the original fermion Lagrangian by Coleman's correspondences of free fermion bilinear operators with boson fields.