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All Journal Jurnal Fourier Jurnal Matematika UNAND JUKEJ: Jurnal Kesehatan Jompa
Angelika, Venthy
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Computer Science & IT Economics, Econometrics & Finance Education Health Professions Mathematics Medicine & Pharmacology Nursing Public Health Veterinary

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Analisis Sensitivitas Model SEIV pada Kasus Penularan Penyakit Polio Angelika, Venthy; Harianto, Joko
Jurnal Fourier Vol. 12 No. 2 (2023)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2023.122.60-68

Abstract

The trend of polio transmission cases until 2023 is still fluctuating and does not tend to decrease monotonically. This incident is important to discuss, especially about the factors that influence cases of polio transmission. One of the studies used to describe the incidence of polio transmission is through mathematical model analysis. One of the mathematical models used to represent the incidence of polio transmission is a dynamic model with the Susceptible-Exposed-Infected-Vaccinated (SEIV) compartment. The SEIV model analyzed in this study involves seven parameters. If the value of each parameter fluctuates, it will affect cases of polio transmission. Therefore, this research aims to analyze the influence of each parameter in the SEIV model on cases of polio transmission. The method used in this research is the literature study method. Secondary data in this study was used to create a SEIV model simulation. The findings of this research are that two parameters have the greatest influence on cases of polio transmission. The infection transmission rate parameter is the most influential parameter in terms of increasing cases of polio transmission because the sensitivity index value is the highest among the other six parameters. Meanwhile, the natural death rate parameter is the parameter that has the most influence on reducing cases of polio transmission. This is because based on the sensitivity index value, the death rate parameter has the lowest sensitivity index value among the other six parameters.
KESTABILAN LOKAL TITIK EKUILIBRIUM MODEL PENYEBARAN PENYAKIT POLIO Harianto, Joko; Angelika, Venthy; Seru, Feby
Jurnal Matematika UNAND Vol. 12 No. 2 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.2.153-167.2023

Abstract

The fact shows that polio is very dangerous to humanity, it is necessary to study the dynamics of the spread of polio. One way, namely a mathematical approach in the form of a mathematical model for the spread of polio. The mathematical model used in this study is the SEIV model. This study aims to provide a description of the dynamics of the spread of polio. The results of this study are expected to be used as a reference to study the dynamics of the spread of polio in an area. The method used in the implementation of this research is literature study. The first stage starts with the model formulation. The second stage analyzes the model that has been formed and the last one makes a model simulation. The formed SEIV model is a system of nonlinear differential equations. The basic reproduction number  parameter is obtained from the analysis of the system. If the basic reproduction number less than one, then there is a single point of  free disease equilibrium that is locally stable asymptotically. Conversely, if the basic reproduction number more than one, then there are two points of equilibrium, namely the point of free equilibrium of disease  and the endemic equilibrium point . When the basic reproduction number more than one endemic equilibrium point  is stable asymptotically locally. Based on the simulation, if  the basic reproduction number less than one for t → ∞ and value (S, E, I, V) are close enough to E*, the system solution will move to E*. This means that if the basic reproduction number less than one, the disease will not be endemic and tends to disappear in an infinite amount of time. Conversely, if the basic reproduction number more than one for t → ∞ and the value (S, E, I, V) are close enough to E^, then the system solution will move towards E^. This means that if the basic reproduction number more than one, then the disease will remain in the population but not reach extinction in an infinite amount of time
Kepuasan Hidup Lansia Dalam Perspektif Pembelajaran Seumur Hidup: Tingkat dan Jenis Belajar Nonformal dan Informal di Kota Jayapura Howay, Lusye; Sari, Inda Puspita; Angelika, Venthy; Angriyani, Dwi
JUKEJ : Jurnal Kesehatan Jompa Vol 5 No 1 (2026): JUKEJ: Jurnal Kesehatan Jompa
Publisher : Yayasan Jompa Research and Development

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57218/jkj.Vol5.Iss1.2448

Abstract

AbstractBackground: Learning is a fundamental human right that extends throughout the lifespan. Therefore, the development of lifelong learning systems is essential to facilitate continuous learning opportunities for individuals at all stages of life. One population group that particularly requires such educational support is older adults, as they are expected to play an increasingly important role in social development due to rising life expectancy. Objective: This study aimed to examine the relationship between types of learning activities and life satisfaction among older adults in the city of Jayapura. Methods: The study employed a quantitative approach using Structural Equation Modeling (SEM) to analyze the relationships between variables. Results: The findings indicated that both non-formal learning (β = 0.28; p < 0.01) and informal learning (β = 0.22; p < 0.05) had a positive and significant effect on life satisfaction. The structural model produced an R² value of 0.41, indicating that 41% of the variance in life satisfaction among older adults was explained by these two types of learning activities. The goodness-of-fit indices also demonstrated that the proposed model showed an acceptable fit, indicating that the model was appropriate for explaining the observed relationships.
Co-Authors Angriyani, Dwi FEBY SERU Howay, Lusye Joko Harianto Sari, Inda Puspita