Universal character of inclusive spectra in central region

Predictions of the model of rapid increase (RIM) and the model, suggested by Cheng and Wu, are compared with the experiments on total cross sections for pp- and K+p-scattering. The difference in predictions of these models at higher energies, that ay be reached at the future accelerators has been studied. Generalization of RIM, that allows one to predict the value of the amplitude real part, is considered