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

被引:3
作者
Asmaidi [1 ]
Suryanto, Eka Dodi [2 ]
机构
[1] Polytech South Aceh, Merdeka St,Komplek Reklamasi Pantai, Tapaktuan City 23751, Indonesia
[2] Prima Indonesia Univ, Belanga St, Medan City 0614578890, Indonesia
来源
1ST SOUTH ACEH INTERNATIONAL CONFERENCE ON ENGINEERING AND TECHNOLOGY (SAICOET) | 2019年 / 506卷
关键词
D O I
10.1088/1757-899X/506/1/012024
中图分类号
T [工业技术];
学科分类号
08 ;
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 Ro < 1, while its counterpart stabilized at Ro > 1. Human behavior at Ro < 1 is when susceptible population proportion (s) was increased from initial value then stabilized about s = 0.9999. For exposed (e) was diminished in the beginning then rested around e = 0. For infected without treatment(i)was lowered first, then stabilized around i = 0. For infected population with treatment (iT) were increased from the beginning then lowered and stabilzed at around iT = 0. Human behavior at Ro> 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.
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页数:7
相关论文
共 5 条
[1]  
Edelstein dan Keshet L, 2005, MATH MODELS BIOL
[2]  
Jones, 2007, THESIS
[3]   An actuarial perspective on healthcare expenditure in the last year of life [J].
Ranchod, S. ;
Abraham, M. ;
Bloch, J. .
SOUTH AFRICAN ACTUARIAL JOURNAL, 2015, 15 :31-49
[4]  
Resmawan, 2013, THESIS
[5]  
Ulfah J., 2014, UNNES J MATH, V3