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Recently, with the upgradation of LHC, it is realized that study ofheavy-flavored hadrons, namely $\Lambda_{c}^{+}$ and $\rm{D}^{0}$ in hadroniccollisions, could reveal the possibility of thermalization of charm quarks.With this motivation, we study the production dynamics of these hadrons inproton+proton collisions at $\sqrt{s}$ = 13 TeV by exploiting their dependenceon charged-particle multiplicity, transverse momentum, and pseudorapidity usinga pQCD-inspired model called PYTHIA8. With the help of the established PYTHIA8tunes to mimic the behavior of thermalization, we investigated the variation ofeffective temperature and degree of non-extensivity using thermodynamicallyconsistent non-extensive Tsallis statistics. We further attempted to establisha connection between the initial state and final state by estimating thecorrelation between the number of multi-partonic interactions ($\rm{n}_{MPI}$)with the Knudsen number.

Multiplicity, transverse momentum and pseudorapidity dependence of  open-heavy flavored hadron production in proton+proton collisions at  $\sqrt{s}$= 13 TeV