Tunable entanglement sudden death and three-partite entanglement in Tavis-Cummings model with an added nonlinear kerr-like medium

► In this study we investigate the entanglement dynamics and the phenomenon of entanglement sudden death in the two-photon Tavis-Cummings model with an added nonlinear kerr-like medium. ► We find the phenomenon of entanglement sudden death can be controlled by the nonlinear kerr-like medium. ► In addition, the time for which genuine three-partite entanglement appears could be tuned by adjusting the values of kerr coefficient ­and dipole-dipole interaction.