Development on Mathematical Models of Type 2 Diabetes Mellitus (DM) in Individuals with A Genetic History

Abstract

Diabetes Mellitus (DM) type 2 is one type of DM that is suffered by many DM sufferers. Type 2 DM can pass on to its offspring so it is necessary to prevent the emergence of type 2 DM. Prevention can be done such as exercise, weight loss, and dietary regulation. This study is a development of previous research with a primary focus on individuals who have a genetic history of having suffered from type 2 DM and it is recommended to choose one of the three prevention parameters involved. The next model development is to find the free equilibrium point values of DM type 2 and DM type 2 and the model will be analyzed for stability at the equilibrium point. The analysis of the basic reproduction number (R0) using the next generation matrix yielded the following values for each assumption: 0.1599; 0.1586; 0.1590; and 0.1582. Weight loss factors were discovered to play a significant influence in preventing type 2 diabetes among the three parameters studied.