Mathematics Modeling of Diabetes Mellitus Type SEIIT by Considering Treatment and Genetics Factors

1st South Aceh International Conference on Engineering and Technology

工业技术（总论）

Asmaidi^1 ; Suryanto, Eka Dodi^2

Polytechnic of South Aceh, Merdeka Street, Komplek Reklamasi Pantai, Tapaktuan city

23751, Indonesia^1

Prima Indonesia University, Belanga Street, Simp. Ayahanda, Medan City

061-4578890, Indonesia^2

关键词: Basic reproduction number;    Diabetes mellitus;    Human behaviors;    Initial point;    Insulin injections;    Mathematics model;    Stability analysis;    Susceptible population;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/506/1/012024/pdf
DOI  :  10.1088/1757-899X/506/1/012024

学科分类：工业工程学

来源: IOP

【 摘 要 】

SEIIT stands for susceptible (S), exposed (E), infected population without treatment (I) and infected population with treatment (IT). For infected population is grouped into infected without treatment and infected with treatment by insulin injection. Susceptible group migrate to exposed by genetics factors. The aims of this study are such as composing mathematics models for diabetes mellitus tipe SEIIT, composing mathematics models for diabetes mellitus, determining fixed point and basic reproduction number, stability analysis for fixed point, and fixed point stability. The result of the study is mathematical modeling or compartment diagram for diabetes mellitus. Compartment diagram was analyzed analytically and numerically. Analyses result gained two fixed points that are, fixed point without disease and fixed point with disease. Each fixed point was analyzed based on basic reproduction number in order to obtained data analyzed both analytically and numerically which the fixed point without disease was stabilized when R0 0 > 1. Human behavior at R0 T) were increased from the beginning then lowered and stabilzed at around iT = 0. Human behavior at R0 > 1 shown as the susceptible (s) population increased from initial point to fluctuated and then rested around s = 0.54711. Exposed (e)group lowered at first, then stopped around e = 0.05655. Infected population without treatment (i) diminished at first then rested at around i = 0.00393. Infected population with treatment (iT) went up first then fluctuated and finally rested at around iT = 0.39241.