Three E-J relationships describing the electromagnetic behavior of the high-temperature superconducting (HTS) bulk over a permanent magnet guideway (PMG) are discussed in this paper. They are the power law model (PLM), the flux flow and creep model (FFCM), and the flux flow model (FFM). With the aid of the finite element software COMSOL Multiphysics, these models were successfully established combining with the AC/DC module and the Heat Transfer module. The irregularity of the surface of the real PMG is considered in the modeling by applying a small-amplitude vertical vibration function to the permanent magnet guideway which is built as a geometric entity. The movement of the guideway is obtained by setting moving mesh. In view of the application of high-speed HTS magnetic levitation (Maglev) system, the dynamic response of the levitation force, the temperature distribution and the current density distribution of the HTS bulk under different vibration frequencies was analyzed. This work can provide a reference for the modeling of the dynamic response of the electromagnetic-thermo-force characteristics of the HTS Maglev system.