A Mathematical Model of Susceptible Diabetes Complication (SDC) Model in Discrete Time Fuzzy and Crisp Environment

Mehmet Merdan; Şeyma Şişman

doi:10.17776/csj.1127855

EN

A Mathematical Model of Susceptible Diabetes Complication (SDC) Model in Discrete Time Fuzzy and Crisp Environment

Abstract

In this study, we examined the mathematical model of the discrete-time equation system with susceptible diabetes complication (SDC), which is known to be caused by environmental and genetic factors in a fuzzy environment. From the diabetes complication (DC) model, the susceptible diabetes complication (SDC) model is being developed. It was obtained using definitions of how the behavior of this model changes in a fuzzy environment. A nonlinear differential equation system transforms the sensitive diabetes complication (SDC) model into a discrete time equation system. Stability analysis of the model with jury criterion was examined. In addition, numerical solutions and graphics of the analysis of the discrete model in fuzzy environment are obtained by using the MATLAB package program.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Mehmet Merdan ^*
0000-0002-8509-3044
Türkiye

Şeyma Şişman
0000-0003-0756-4872
Türkiye

Publication Date

December 27, 2022

Submission Date

June 8, 2022

Acceptance Date

September 1, 2022

Published in Issue

Year 1970 Volume: 43 Number: 4

DOI

https://doi.org/10.17776/csj.1127855

IZ

https://izlik.org/JA92MN29PF

Cite

RIS / Bibtex

APA

Merdan, M., & Şişman, Ş. (2022). A Mathematical Model of Susceptible Diabetes Complication (SDC) Model in Discrete Time Fuzzy and Crisp Environment. Cumhuriyet Science Journal, 43(4), 656-664. https://doi.org/10.17776/csj.1127855

Cited By

Analysis of Fuzzy‐Fractional Fornberg–Whitham Models Using Extended He‐Laplace Methodology

Journal of Mathematics

https://doi.org/10.1155/jom/4651998

A Mathematical Model of Susceptible Diabetes Complication (SDC) Model in Discrete Time Fuzzy and Crisp Environment

Öz

Anahtar Kelimeler

A Mathematical Model of Susceptible Diabetes Complication (SDC) Model in Discrete Time Fuzzy and Crisp Environment

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Analysis of Fuzzy‐Fractional Fornberg–Whitham Models Using Extended He‐Laplace Methodology