Mathematical models based on advanced
differential equations are utilized to analyze the glucose-insulin regulatory
system, and how it affects the detection of Type I and Type II diabetes. In
this paper, we have incorporated several models of prominent mathematicians in
this field of work. Three of these models are single time delays, where either
there is a time delay of how long it takes insulin produced by the pancreas to
take effect, or a delay in the glucose production after the insulin has taken
effect on the body. Three other models are two-time delay models, and based on
the specific models, the time delay takes place in some sort of insulin
production delay or glucose production delay. The intent of this paper is to
use these multiple delays to analyze the glucose-insulin regulatory system, and
how if it is not properly working at any point, the high risk of diabetes
becomes a reality.
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