Stability Analysis of Discretized Model of Glucose–Insulin Homeostasis
Celal Bayar University Journal of Science, cilt.17, sa.4, ss.369-377, 2021 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 4
- Basım Tarihi: 2021
- Doi Numarası: 10.18466/cbayarfbe.838451
- Dergi Adı: Celal Bayar University Journal of Science
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.369-377
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, the mathematical model which describes the glucose-insulin homeostasis in healthy rats is
considered. The model is discretized by constructing a nonstandard finite difference (NSFD) scheme to
obtain the numerical solutions. The equilibrium point of the discretized model is determined and stability
analysis of the discretized model is discussed. The effect of time step sizes on 4th order Runge-Kutta
method and NSFD method is presented. Also, comparison of NSFD scheme solution, Runge-KuttaFehlberg Method (RKF45) solution and analytical solution are presented in graphical form. The
effectiveness of the proposed method in the solution and interpretation of the model is observed.