A Mathematical Model On The Effect Of Non-Adherence To Drugs On Diabetes Control

Abstract

A compartmental mathematical model for diabetes is developed. The model describes the dynamics of the spread of Type- 2 diabetes. A theoretical investigation in the non-adherence to drugs is investigated. A system of differential equations is analysed by stability analysis, the non-trivial critical point obtained is locally asymptotically stable under the given conditions. In-host mathematical model for glucose tolerance test (GTT) is considered, actual glucose data values are fitted using Matlab least squares curve fitting technique. Two methods are used to numerically compute the distributions of steady states of diabetic sub-populations. The Gauss- Seidel method is more accurate than the Jacobi method. The results show that more than 50% of clinical diagnosis effort need to be applied to have more diagnosed population than undiagnosed. Nonadherence to drugs make the control of diabetes difficult. Other nonclinical activities such as campaigns against unhealthy lifestyles can help control diabetes. The GTT model show that if strict diet and medication is followed diabetes can be controlled.