Analytical Solution of a Mathematical Model for the Dynamics of Diabetes Mellitus and its Complications incorporating Treatment and Positive Lifestyle as Control

Authors

  • P .O AYE Dept. of Mathematical Sciences, Adekunle Ajasin University, Akungba Akoko, Ondo State, Nigeria Author
  • N. I. AKINWANDE Dept. of Mathematics and Statistics, Federal University of Technology, Minna Author
  • F. A KUTA Dept. of Microbiology, Federal University of Technology, Minna Author
  • D. J KAYODE Dept. of Mathematical Sciences, Adekunle Ajasin University, Akungba Akoko, Ondo State, Nigeria Author

Keywords:

Diabetes mellitus, complications, treatment, positive lifestyle

Abstract

In this paper, a mathematical model for the dynamics of diabetes mellitus and its complications incorporating treatment and positive lifestyle as control is developed. The population under study is divided into healthy, susceptible, diabetic without complication, diabetic with complication, diabetic with complications undergoing treatment. The analytical solution of the model is obtained using homotopy pertubation method (HPM). We carry out numerical simulation of the solution and the graphical results are presented. The result of the study established that the disease can be controlled by effective treatment and positive lifestyle.

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Published

2024-10-28

Issue

Vol. 10 (2019): Special Edition

Section

Articles