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KESTABILAN LOKAL TITIK EKUILIBRIUM MODEL PENYEBARAN PENYAKIT POLIO Joko Harianto; Venthy Angelika; Feby Seru
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
Pelatihan Self-control untuk Meningkatkan Kontrol Diri terhadap Penyalahgunaan Narkotika dan Zat Adiktif Berbahaya (Narkoba) pada Remaja di Kota Jayapura Venthy Angelika; Dwi Angriyani; Lusye Howay; Inda Puspita Sari
Jurnal Pengabdian Masyarakat Nusantara Vol. 8 No. 1 (2026): Maret: Jurnal Pengabdian Masyarakat Nusantara
Publisher : Universitas Muhammadiyah Manado

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57214/pengabmas.v8i1.1092

Abstract

Drug abuse among adolescents has been increasing, including among youth in Papua. According to data from the National Narcotics Agency (BNN) of Papua Province, there was a 1.73% increase in 2023. One of the contributing factors to adolescent involvement in drug abuse is low self-control. This study aimed to provide self-control training to help prevent drug abuse among adolescents independently. The program involved 37 vocational high school students in Jayapura City and employed a one-group pretest–posttest experimental design without a control group. The intervention consisted of self-control training delivered through lectures, discussions, and a structured learning module. The results indicated a significant improvement in self-control before and after the intervention, as evidenced by a significance value of 0.000 (p < 0.05) using a paired sample t-test, with an increase in the mean pre-test score (M = 46; SD = 7) to the mean post-test score (M = 48; SD = 6). These findings suggest that students of SMK Negeri 9 Jayapura experienced an improvement in self-control after participating in the training. Practically, this study demonstrates that self-control training can serve as an effective psychological intervention to address drug abuse and harmful substance use among adolescents. This intervention not only helps reduce addictive behaviors but also has the potential to enhance students’ quality of life and academic achievement.