Strategi Pencegahan Endemi HIV/AIDS dengan Menggunakan Pemodelan Matematika

Ismanto, Ismanto; Fathoni, M. Ivan Ariful

doi:10.36815/majamath.v2i1.273

Cited by 2 publications

(2 citation statements)

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“…Di samping itu, [11] melakukan analisis model matematika pada penyebaran HIV/AIDS dengan edukasi dan ART Treatment. Lebih lanjut, [12] menggunakan pemodelan matematika sebagai strategi pencegahan endemik HIV/AIDS. Adapula [13] yang telah melakukan pemodelan matematika pada penyebaran HIV/AIDS tipe SIA (Susceptible, Infected, Abstained) dengan menganalisis stabilitas dan simulasi model.…”

Section: Pendahuluanunclassified

Pemodelan Matematika dan Analisis Kestabilan Model Pada Penyebaran HIV/AIDS Tipe SITA (Susceptible, Infected, Treatment, AIDS)

Mahuda,

Rofiroh

2024

JOSTECH

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HIV/AIDS still become a major public health problem that occurs in almost all countries in the world. Until now, no medicine has been found that can treat HIV/AIDS. However, there is therapy or treatment that can be done to slow the spread of the virus, namely antiretroviral (ARV) or called Antiretroviral Therapy (ART). The mathematical modeling carried out in this study uses the SITA type where there are 4 compartments, namely Susceptible (S), Infected (I) Treatment (T), and AIDS (A) in a closed population. The objectives of this research are: 1) to construct a mathematical model for the spread of SITA type HIV/AIDS, 2) determine the equilibrium point and stability of the equilibrium point of the model, 3) determine the basic reproduction number (R_0), and 4) carry out a dynamic simulation of the model. Mathematical modeling of the spread of SITA type HIV/AIDS produces two equilibrium points, namely the disease-free equilibrium point (E_1) and the endemik equilibrium point (E_2). From the results of the analysis, the basic reproduction ratio (R_0) was also obtained by building a matrix called the Next Generation Matrix (NGM). The basic reproduction ratio number (R_0) also determines the existence and stability of the equilibrium point and can control the rate of spread of HIV/AIDS. Based on the simulation results, the parameter value that greatly influences population dynamics is the rate of treatment given to the Infected (I) sub population.

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Section: Pendahuluanunclassified

Pemodelan Matematika dan Analisis Kestabilan Model Pada Penyebaran HIV/AIDS Tipe SITA (Susceptible, Infected, Treatment, AIDS)

Mahuda,

Rofiroh

2024

JOSTECH

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“…Many occurrences in the surroundings can be observed and analyzed in the form of a mathematical model. Mathematical models are models that represent a problem in the real world into mathematical equations [13]. In this study, we analyzed the dynamics of students' level of understanding in mathematics based on time through a modeling approach.…”

Section: Introductionmentioning

confidence: 99%

Student Group Dynamic Model Based on Understanding in Mathematics Subjects

2021

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This study discusses the interaction of students with a mathematical modeling point of view. This interaction involves students who understand and do not understand mathematics subject matter. The interaction process between groups is modeled in a two-dimensional system of differential equations. Variable A is the percentage of students who understand the material, and variable B is the percentage of students who do not understand the material. The dynamic analysis results obtained by one trivial equilibrium point and three non-trivial equilibrium points exist with several conditions. Based on the stability analysis of the non-trivial equilibrium point, it is found that the conditions without students do not understand mathematics subject matter. This condition is the goal of this study, which involves interaction between students; it can increase the learning process's success.

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Strategi Pencegahan Endemi HIV/AIDS dengan Menggunakan Pemodelan Matematika

Cited by 2 publications

References 1 publication

Pemodelan Matematika dan Analisis Kestabilan Model Pada Penyebaran HIV/AIDS Tipe SITA (Susceptible, Infected, Treatment, AIDS)

Pemodelan Matematika dan Analisis Kestabilan Model Pada Penyebaran HIV/AIDS Tipe SITA (Susceptible, Infected, Treatment, AIDS)

Student Group Dynamic Model Based on Understanding in Mathematics Subjects

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