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Background/Purpose: A dental implant is an orthodontic prosthesis inserted into the patient's jawbone by a surgical procedure to compensate for a lost tooth. Upon osseointegration (bone-implant fusion), the abutment and crown can be attached to the implant to complete the implantation process. To guarantee the successful implantation of dental prosthetics, it's vital to monitor the primary stability in micro-displacement. This research aims to create a two-degree-of-freedom (2 DOF) mathematical model of dental implant prosthetics, which will be used to evaluate the micro-displacement under electromagnetic excitation. This mathematical model development will verify the functionality and accuracy of the electromagnetic RFA technique by estimating the resonance frequency and associated micro frequency of dental implants. Methods: Dental implant systems are evaluated according to the frequency of vibration corresponding to the maximum micro-displacement (micro-mobility). The stiffness and damping values of the mathematical model were determined using Finite Element Analysis (FEA). Using concepts and equations of vibration, the maximum displacement of the implant is determined. Results: Variations in input frequency ranges have also been compared to observe the micro displacement and resonance frequencies. In MATLAB, an input frequency of 5 to 15 kHz was provided. The maximum micro displacements and the resonance frequencies were plotted in the time domain and frequency domain using Fast Fourier Transform (FFT) in MATLAB. Conclusions: The findings of this research reveal that input frequency ranges of 5 to 15 kHz can be used to determine the resonance frequencies of a dental implant and the corresponding micro-displacements. there is a need in the medical field for a non-invasive device with a 2 DOF modeling concept that can detect even small changes in implant stability which ultimately determines both the short- and long-term clinical effectiveness of implant treatment.