Modeling for diabetes detection with the help of epinephrine behavior

Diabetes mellitus are two types — type-1(less production of Insulin) and type-2(body's inability to response to insulin). There are so many parameters like glucose, insulin, beta-cells, epinephrine etc which play an important role in diabetes mellitus. In this work we established a dynamic mathematical model for detection of diabetes in blood with the help of a parameters as epinephrine. In addition of this we also incorporated a new parameter in the existing model i.e. beta cells which has a great impact on the insulin. Numerical calculations has been carried out to get the eigen values for the model which are the complex numbers with negative real part and it shows the behavior of the model which is stable.