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.
