Open AccessMathematics Modeling of Diabetes Mellitus Type SEIIT By Considering Treatment And Genetic Factors
Author(s) -
Asmaidi Asmaidi,
Eka Dodi Suryanto
Publication year - 2018
Publication title -
inotera
Language(s) - English
Resource type - Journals
eISSN - 2581-1274
pISSN - 2548-7574
DOI - 10.31572/inotera.vol3.iss1.2018.id46
Subject(s) - breakpoint , population , diabetes mellitus , diagram , type 2 diabetes mellitus , reproduction , mathematics , medicine , biology , endocrinology , gene , genetics , statistics , chromosomal translocation , environmental health
SEIIT stands for Susceptible (S), Exposed (E), Infected population untreated (I) and Infected population treated (IT). Infected groups consisted in two categories, untreated (I) and with treatment (IT) by presented to insulin. Susceptible shifted to exposed by gene. Prefered outcomes are mathematical models for diabetes mellitus type SEIIT, conventional type, determining breakpoint and basic reproduction number, breakpoint analysis, breakpoint stability simulation. The results were mathematical models or diabetes mellitus compartment charts/diagrams. These diagram were both analysed analitically and numerically. The analyses presented two fixed points, with desease and without desease. Each point was analysed by its basic reproduction number, analitically and numerically, at fixed points without desease Ro 1. Human population at condition Ro 1, susceptible (s) increased at the beginning then fluctuated, stabilized finally at . Exposed (e) lower at first then stabilized at . Untreated infected group (i) lower from initial then stabilized when .00393. Treatment group initiate an increasing value, then fluctuated and stabilized at .