Abstract: In this paper, we analyze the correlations between the mean transverse momentum and the multiplicity of charged particles in proton–proton collisions using four different models: EPOS, SMASH, PHSD and UrQMD. Three strongly intensive quantities, as well as second- and third-order cumulants of transverse momentum, were chosen as variables for the resaerch. In the dependences of strongly intensive quantities on energy, discrepancies between the models were found. In the model SMASH, both for strongly intensive quantities and for cumulants, a certain ‘‘wave’’ arise, which can become evidence of a transition from the resonance regime to strings. Such a nontrivial behavior of correlations in collisions as ‘‘baseline’’ may later cause difficulties in explaining the results for collisions. All models coincide with the prediction of the hydrodynamic model. Experimental results obtained at MPD/NICA can clarify this model analysis. © Pleiades Publishing, Ltd. 2023.