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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.
Implementasi Tes RIASEC dalam Mengidentifikasi Minat Karier Siswa di Sekolah Menengah Kejuruan Angriyani, Dwi; Angelika, Venthy; Sari, Inda Puspita; Howay, Lusye
International Journal of Community Service Learning Vol. 9 No. 2 (2025): May
Publisher : Universitas Pendidikan Ganesha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/ijcsl.v9i2.90870

Abstract

Penelusuran minat karier merupakan salah satu kegiatan yang dapat dilakukan untuk membantu siswa memahami potensi diri dan menentukan arah jalur pendidikan serta kariernya. Di Sekolah Menengah Kejuruan (SMK) “A”, banyak siswa menghadapi tantangan dalam memilih pendidikan atau karier yang sejalan dengan minat intrinsic. Tujuan Pengabdian ini untuk menganalisis implementasi tes RIASEC dalam mengidentifikasi minat karier siswa di sekolah menengah kejuruan. Desain Pengabdian yang digunakan adalah deskriptif dengan pendekatan kuantitaitf. Subjek Pengabdian sebanyak 40 siswa SMK yang terlibat dalam kegiatan dipilih melalui teknik convenience sampling dan diberikan tes RIASEC secara klasikal. Data dianalisis secara deskriptif untuk mengidentifikasi pola minat karir. Hasil menunjukkan bahwa tipe Enterprising (E) merupakan yang paling dominan (32.5%), diikuti tipe Social (S) sebesar 25% dan Realistik (R) sebanyak 22.5%. Terdapat 29 kombinasi tipe minat yang dikategorikan dalam 14 kelompok berdasarkan interpretasi tes. Bidang kejuruan yang saat ini ditempuh siswa umumnya sesuai dengan tipe R. Siswa dengan tipe minat utama yang kurang sesuai dengan tuntutan teknis kejuruan saat ini perlu mendapat perhatian pihak sekolah dengan melakukan optimalisasi untuk bidang yang memerlukan pengelolaan tim atau pekerjaan terkait. Simpulan Pengabdian menunjukkan pelaksanaan tes minat RIASEC bagi siswa SMK “A” telah berjalan sesuai dengan tujuan.
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