Theoretical studies via nuclear reaction models have an undeniable importance and impact in terms of better understanding of reaction processes and their nature. In this study, by considering the importance of these models and the medical radionuclides, the effects of six level density models and eight alpha optical model potentials on the cross-section calculations for the production of the radionuclides Cu-62, Ga-67, Y-86 and Zr-89 via Co-59(alpha,n)Cu-62, Ni-60(alpha,np)Cu-62, Cu-65 (alpha,2n)Ga-67, Zn-64(alpha,p)Ga-67, Rb-85(alpha,3n)Y-86, Sr-86(alpha,n)Zr-89, Sr-87(alpha,2n)Zr-89 and Sr-88(alpha,3n)Zr-89 reactions were investigated. Calculations for each reaction route were performed by using the TALYS v1.9 code. The most consistent model with the literature data taken from the Experimental Nuclear Reaction Database (EXFOR), was identified by using the reduced chi-squared statistics in addition to an eyeball estimation. Also, the effects of combinational use of selected models and potentials were investigated by comparing the calculational results with the experimental data.