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The multiplicity dependence of heavy flavour production in pp-collisions atLHC energies is studied in the framework of the multi-pomeron exchange model.The model is introducing the string-string interaction collectivity effects inpp collisions, which modifies multiplicity and transverse momenta, leading tothe non-trivial mean pt vs. multiplicity (<pt>_Nch - Nch) correlation. Thestring collectivity strength parameter is fixed by experimental data onmultiplicity and transverse momentum correlation in a wide energy range (fromISR to LHC). The particles discrimination is implemented according to Schwingermechanism taking into account the strong decays of hadron resonances. Wedemonstrate, that the faster-than-linear growth of the open charm productionwith the event charged particle multiplicity, observed in experimental pp highenergy collisions, can be explained by the modification of the string tensiondue to the increasing overlap and interaction of quark-gluon strings. The modelis extended for p-A interactions and the calculations for p-Pb collisions areperformed.

Correlation between heavy flavour production and multiplicity in pp and p-Pb collisions at high energy in the multi-pomeron exchange model