The systematic of low-lying states for odd nuclei of the A~100 mass of transitional region is studied using the quasiparticle-phonon coupling plus rotor model (QPRM). The individual excitation is retained in a deformed average field of Nilsson and a monopole pairing interaction. The collectif vibrational motion is represented by including the quadrupole phonon term given from the Tamm-Dancoff Approximation. The two effects of recoil and Coriolis forces are included with the assumption of a symmetric rotation motion. To determine the intrinsic states of an odd-nucleus we adopted an exact diagonalization in the basis of both 1-quasiparticle and quasiparticle-phonon states. The theoretical level schemes of the neutron-rich Sr, Zr, Mo and Ru isotopes is established and compared with the existing experimental data.