Diabetes Mellitus is an autoimmune disease characterized by the depletion of the pancreatic $\beta$ cells responsible for the production of insulin in the human body. However, an early diagnosis of diabetes will allow the individual to adopt therapies that in turn will help postpone certain serious effects for later. Using ordinary differential equations, partial differential equations, and matrix analysis mathematical models of glucose and insulin kinetics have been developed that deal with different aspects of diabetes. In this presentation, I hope to further your understanding of a few of them and the way these models help predict and determine the pathology of the disease suffered by the individual.