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We investigate the energy losses of $b$ and $c$ quarks at hard collisionswith gluons and light quarks in quark-gluon plasma produced in central $Au +Au$ collisions at RHIC energy($\sqrt{s_{NN}} = 200$ GeV). As the couplingconstant at hard collision in the perturbative QCD is limited by Landau pole atmomenta $Q^{2} = \Lambda^{2}$, we use the analytic models of QCD, where theLandau pole is absent. We calculate the energy losses of $b$ and $c$ quarks inanalytic model of QCD at $Q^{2} \ge \Lambda^{2}$. At calculations we use theeffective quasiparticle model. We use at calculations of total nuclearmodification factor $R_{AA}^{b+c}$ the fragmentation of $b$ and $c$ quarks intoheavy hadrons with accounting theirs energy losses. We show that this factorgives the considerably suppression of heavy $B$ and $D$ mesons in the region ofmiddle meanings of $p_{\perp}$. The experimental data \cite{2} show, thatnonphotonic electrons have the analogous suppression in the same region of$p_{\perp}$.

Collisional energy losses of heavy quarks in relativistic nuclear collisions at energies available at the BNL Relativistic Heavy Ion Collider