A Mathematical Model for the Effects of Physical Activity and Nutrition in Patients with Diabetes Mellitus

Abstract

The disease of diabetes is ravaging the world’s population affecting the lives of many people mainly the economically active groups. Its effects result in a decrease of the most productive world’s labor force and consequently reducing the Gross Domestic Product (GDP). The objective of this study was to develop a mathematical model for Blood Glucose Regulatory System (BGRS) using Linear Nonhomogeneous Differential Equations. This model incorporated nutrition and physical activity, to be able to manage Diabetes mellitus in such a way that, the peak, which is the time period for insulin to be most effective in lowering blood sugar, is within the acceptable range. It is worth noting that after doing physical activity for some minutes, we have that the glucose and insulin levels in the blood plasma of diabetic patient decreases back to their normal levels .This means that if a patient observes the correct diet and does physical activity regularly and mostly once per day for a certain period, there is no need of going for any insulin supplement. This is more beneficial because the body may become resistant to introduction of insulin with time.