The present paper is devoted to consider the problem of the interaction between a pair of entangled qubits and a multiphotons cavity mode. The deformed operators are involved in the Hamiltonian model which represents such system. The exact solution of the wave function is obtained and the density matrix is contracted. For two different types of Bell states, the purity as well as the fidelity of the system are investigated. In our computational program we have used different values of the photon numbers and the deformity parameter to investigate the robustness of these entangled states. It is shown that, for small values of the deformity parameter the purity and the fidelity of the travel state are improved. On the other hand, in the absence of the deformation parameter the number of photons inside the cavity improve the stability behavior for the purity and the fidelity.