Global stability of Susceptible Diabetes Complication (SDC) model in discrete time

Şeyma Şişman; Mehmet Merdan

Global stability of Susceptible Diabetes Complication (SDC) model in discrete time

Abstract

In this study, the mathematical model (DC) of diabetes disease is discussed. This model divides people into (D) uncomplicated and (C) complex diabetics two. In addition, diabetes is a disease known to be caused by genetic and environmental factors, and this factor is one of the main causes of genetic disorder at birth. Considering these two factors, the diabetes complication (SDC) model, which is sensitive from the diabetes complication (DC) model, is being developed. In this model, the responsive diabetes complication (SDC) model of a nonlinear system of differential equations is transformed into a discrete-time system of equations. The positivity and limitation of Model solutions were examined R0 the basic increment number is calculated. If R0 < 1, it has a global asymptotically stable balance for the situation where there is no genetic disorder at birth, and for R0 < 1, the system has an unstable balance. In addition, random behavior of the discrete model was examined for different probability distributions.

Keywords

References

[1] Anaç H, Merdan M, Bekiryazıcı Z. Global stabılıty in a pathogen-specıfıc Cd8 immune response predıctıon model. Sigma J Eng Nat Sci 2019;10:325–42.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Technical Brief

Authors

Şeyma Şişman This is me
0000-0003-0756-4872
Türkiye

Mehmet Merdan This is me
0000-0002-8509-3044
Türkiye

Publication Date

September 27, 2021

Submission Date

September 29, 2020

Acceptance Date

January 14, 2021

Published in Issue

Year 2021 Volume: 39 Number: 3

IZ

https://izlik.org/JA64EX82RS

Cite

RIS / Bibtex

APA

Şişman, Ş., & Merdan, M. (2021). Global stability of Susceptible Diabetes Complication (SDC) model in discrete time. Sigma Journal of Engineering and Natural Sciences, 39(3), 290-312. https://izlik.org/JA64EX82RS

AMA

1.Şişman Ş, Merdan M. Global stability of Susceptible Diabetes Complication (SDC) model in discrete time. SIGMA. 2021;39(3):290-312. https://izlik.org/JA64EX82RS

Chicago

Şişman, Şeyma, and Mehmet Merdan. 2021. “Global Stability of Susceptible Diabetes Complication (SDC) Model in Discrete Time”. Sigma Journal of Engineering and Natural Sciences 39 (3): 290-312. https://izlik.org/JA64EX82RS.

EndNote

Şişman Ş, Merdan M (September 1, 2021) Global stability of Susceptible Diabetes Complication (SDC) model in discrete time. Sigma Journal of Engineering and Natural Sciences 39 3 290–312.

IEEE

[1]Ş. Şişman and M. Merdan, “Global stability of Susceptible Diabetes Complication (SDC) model in discrete time”, SIGMA, vol. 39, no. 3, pp. 290–312, Sept. 2021, [Online]. Available: https://izlik.org/JA64EX82RS

ISNAD

Şişman, Şeyma - Merdan, Mehmet. “Global Stability of Susceptible Diabetes Complication (SDC) Model in Discrete Time”. Sigma Journal of Engineering and Natural Sciences 39/3 (September 1, 2021): 290-312. https://izlik.org/JA64EX82RS.

JAMA

1.Şişman Ş, Merdan M. Global stability of Susceptible Diabetes Complication (SDC) model in discrete time. SIGMA. 2021;39:290–312.

MLA

Şişman, Şeyma, and Mehmet Merdan. “Global Stability of Susceptible Diabetes Complication (SDC) Model in Discrete Time”. Sigma Journal of Engineering and Natural Sciences, vol. 39, no. 3, Sept. 2021, pp. 290-12, https://izlik.org/JA64EX82RS.

Vancouver

1.Şeyma Şişman, Mehmet Merdan. Global stability of Susceptible Diabetes Complication (SDC) model in discrete time. SIGMA [Internet]. 2021 Sep. 1;39(3):290-312. Available from: https://izlik.org/JA64EX82RS