Diabetes mellitus is considered as one of the crucial diseases among other diseases which influence a large number of individuals and growing at an experimental pace over the globe. There are so many reasons for diabetes which includes the diet and lack of physical activities. One of the most complicated and crucialphysiological control systems in humans is the glucose-insulin regulatory system. The biological hormonal effects, causing the glucose homeostasis in human body for regulation of glucose-insulin levels in normal values, are considered as parameters in these models. It is very important to get an insight into this type of complex situation. Because of moral issues, physiological limitations and high costs of human experimentation, mathematical modelling is a well known approach in acquiring dependable data for disease in a safe and practical way. In this work new mathematical models of glucose-insulin regulatory system have been proposed with the help of differential equations and statistical techniques by considering real life parameters like biological hormonal effects etc.

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