APPLIED JOURNAL OF PHYSICAL SCIENCE
Integrity Research Journals
ISSN: 2756-6684
Model: Open Access/Peer Reviewed
DOI: 10.31248/AJPS
Start Year: 2018
Email: ajps@integrityresjournals.org
Assessing the impact of treatment on the dynamics of Diabetes mellitus and its complications: A mathematical model approach
https://doi.org/10.31248/AJPS2026.148 | Article Number: 9ACE5FD23 | Vol.7 (4) - August 2026
Received Date: 15 July 2026 | Accepted Date: 08 August 2026 | Published Date: 30 August 2026
Authors: Aye P. O.* , Eyinla, T. O. , Felemu, O. J. and Daodu, F. T.
Keywords: treatment., diabetes mellitus, Homotopy perturbation method, Complications, numerical simulation
Diabetes is a disorder in which the body becomes unable to control the amount of sugar in the blood. The pancreas (beta-cells) is not functioning normally, resulting in a partial or total lack of insulin, which is the key to the mechanism converting sugar to energy. Consequently, the system is no longer self-regulated, and the level of sugar in the blood goes beyond the limits. This paper proposes a mathematical model for the dynamics of diabetes mellitus and its complications incorporating treatment. The human population were divided into four compartments, namely: susceptible, diabetics without complications, diabetics with complications and diabetics with complications undergoing treatment. The system of ordinary differential equations describing the dynamics of diabetes mellitus was derived. The analytical solution of the model equations was obtained using the Homotopy Perturbation Method. Numerical simulation of the solution was carried out, and results were obtained. The results show that diabetes can be controlled and the complications arising from it can be cured with effective treatment.
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