Controlling the dynamics of Diabetes Mellitus with mathematical model

Yazarlar

  • K.A. Adeyemo* Department of Computer and Mathematics, Faculty of Science, Nigeria Police Academy Wudil, Kano, Nigeria
  • T.A. Lawal† †Department of Biochemistry and Forensic Science, Faculty of Science, Nigeria Police Academy Wudil, Kano, Nigeria;
  • I.A. Azeez‡ Department of Family Medicine, Faculty of Medical Sciences, ABUA, Nigeria
  • E. Philemon§ §Department of Computer and Mathematics, Faculty of Science, Nigeria Police Academy Wudil, Kano
  • K.I. Falade**, * Department of Mathematics, ADUSTECH, Wudil, Kano State, Nigeria
  • F.C. Nwachukwu†† Department of Biochemistry and Forensic Science, Faculty of Science, Nigeria Police Academy Wudil, Kano, Nigeria
  • A. Omame‡‡ Department of Mathematics, School of Physical Sciences, Federal University of Technology, Owerri, Nigeria
  • N. O. Lasisi§§, § Department of Mathematics and Statistics, Federal Polytechnic, Kaura Namoda, Zamfara State, Nigeria
  • P.O. Aye*** Department of Mathematical Sciences, Adekunle Ajasin University, Akingba-Akoko, Ondo State, Nigeria.

Anahtar Kelimeler:

model- diabetes mellitus- equilibrium point- model solution- graphical simulation

Özet

control parameters, was formulated. The obtained equilibrium point shows that there is no disease free equilibrium (DFE) but endemic equilibrium point (EEP) of the model, The Analysis of the model shows that the endemic equilibrium point of the model is both locally asymptotically stable (LAS) and globally asymptotically stable (GAS). Homotopy perturbation method was used to obtain the model solution. Nigeria diabetes values and parameters are used to obtain the sensitivity analysis of the sensitive parameters, and graphical simulations of the numerical solution of the state variables. The study provides a comprehensive
guidance for the prevention and control of Type 1, Type 2 and gestational diabetes. 

Yayınlanmış

2025-03-01

Nasıl Atıf Yapılır

Adeyemo*, K. ., Lawal†, T. . ., Azeez‡, I. ., Philemon§, E. ., Falade**, . K. ., Nwachukwu††, F. ., Omame‡‡, A. ., Lasisi§§, N. O. ., & Aye***, P. . (2025). Controlling the dynamics of Diabetes Mellitus with mathematical model . International Journal of Mathematical Analysis and Modelling, 7(2). Geliş tarihi gönderen https://tnsmb.org/journal/index.php/ijmam/article/view/195