Stability analysis of mathematical model for the dynamics of diabetes mellitus and its complications in a population

Patrick Olabanji Aye

doi:10.15282/daam.v3i1.7192

Stability analysis of mathematical model for the dynamics of diabetes mellitus and its complications in a population

Authors

P.O. Aye Dept. of Mathematical Sciences, Adekunle Ajasin University, Akungba Akoko, Ondo State, Nigeria.

DOI:

https://doi.org/10.15282/daam.v3i1.7192

Keywords:

Diabetes mellitus, Complications, Mathematical model, Stability analysis

Abstract

This study present a mathematical model for the dynamics of diabetess and its complications in a population. The population under study was compartmentalized into healthy, susceptible, diabetic without complications, diabetic with complication and diabetic with complications undergoing treatment. The model is a system of linear ordinary differential equations. The stability of the model was investigated using Bellman and Coke method and the system was found to be stable.