Mathematics Modeling of Diabetes Mellitus Type SEII<sub>T</sub> by Considering Treatment and Genetics Factors

Asmaidi,; Suryanto, Eka Dodi

doi:10.1088/1757-899x/506/1/012024

Cited by 3 publications

(2 citation statements)

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“…Determining the basic reproduction numbers is done by The Next Generation Matrix approach. The next-generation matrix is defined as follows: G = FV -1 (5) Where F and V as followed and (6) Basic reproduction number is the most significant harmful eigenvalue matrix K noted as…”

Section: Determination Of Basic Reproduction Numbersmentioning

confidence: 99%

“…According to [5], which formulates the SEIIT mathematical model into SEIIT R. Furthermore, analyze the stability of fixed points and simulate the SEIIT R model. Next [6], developed a mathematical model of diabetes mellitus. In this study, the developed model is a mathematical model of diabetes mellitus type SEIIT by considering treatment and genetic factors.…”

Section: Introductionmentioning

confidence: 99%

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SEIITR Model for Diabetes Mellitus Distribution in Case of Insulin and Care Factors

Fajri¹,

Sanusi

Asmaidi³

2020

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This research is done to learn diabetes mellitus type SEIITR with insulin and care factors. Mathematical model type SEIITR is a mathematical model of diabetes in which the human population is divided into five groups: susceptible humans (Susceptible) S, exposed (Exposed) E, infected I without treatment, infected (Infected) IT with treatment dan recovered (Recovery) R. The SEIITR model has two fixed points, namely, a fixed point without disease and an endemic fixed point. By using basic reproduction numbers (R0), it is found that the fixed point without disease is stable if R0 < 1 and when R0 > 1. Then the fixed point without disease is unstable. The simulation shows the effect of giving insulin to changes in the value of the basic reproduction number. If the effectiveness of β decreases, the basic reproduction number decreases too. Thus, a decrease in the value of this parameter will be able to help reduce the rate of diabetes mellitus in the population.

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Section: Determination Of Basic Reproduction Numbersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

SEIITR Model for Diabetes Mellitus Distribution in Case of Insulin and Care Factors

Fajri¹,

Sanusi

Asmaidi³

2020

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Population models of diabetes mellitus by ordinary differential equations: a review

Nasir

Daud

2021

Mathematical Population Studies

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A fractional-order differential equation model of diabetes mellitus type SEIIT

Dadhich,

Yadav,

Kritika

2024

Int. J. Math. Ind.

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Diabetes Mellitus is a metabolic disorder that occurs when the sugar level in blood is not proper. Diabetes is classified into many types and this classification is based upon the etiology of the disease. This disease is classified into three main types: Type 1 Diabetes Mellitus (T1DM), Type 2 Diabetes Mellitus (T2DM) and Gestational Diabetes Mellitus (GDM). In this paper, our aim is to present a model of Diabetes Mellitus Type [Formula: see text] by considering treatment and genetic factors. We have formulated the model for the epidemic problem. Here, a numerical algorithm based on Fractional Homotopy Analysis Transform Method (FHATM) is constituted to study the fractional form of the model for Diabetes Mellitus Type [Formula: see text]. The suggested technique is obtained by merging the homotopy analysis, Laplace transform and the homotopy polynomials. The convergence and uniqueness of the solution are also discussed and results are also presented.

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

Cited by 3 publications

References 1 publication

SEIITR Model for Diabetes Mellitus Distribution in Case of Insulin and Care Factors

SEIITR Model for Diabetes Mellitus Distribution in Case of Insulin and Care Factors

Population models of diabetes mellitus by ordinary differential equations: a review

A fractional-order differential equation model of diabetes mellitus type SEIIT

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

Cited by 3 publications

References 1 publication

SEIITR Model for Diabetes Mellitus Distribution in Case of Insulin and Care Factors

SEIITR Model for Diabetes Mellitus Distribution in Case of Insulin and Care Factors

Population models of diabetes mellitus by ordinary differential equations: a review

A fractional-order differential equation model of diabetes mellitus type SEIIT

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Product

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