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ANALISIS KESTABILAN MODEL SVIQR PADA PENYEBARAN PENYAKIT DIFTERI DENGAN PENGARUH VAKSINASI DAN KARANTINA Inas Dafa Nurhana; Abadi Abadi
MATHunesa: Jurnal Ilmiah Matematika Vol 11 No 2 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n2.p265-273

Abstract

Diphtheria is an acute disease caused by bacteria (Corynebacterium Diphtheriae). This disease is transmitted through the air and droplets (very small drops of fluid) from infected individuals. Vaccination can be carried out as a preventive measure so as not to be infected with bacteria (Corynebacterium Diphtheriae) and quarantine is carried out as a healing process because this disease is one type of disease included in the hospital-based STP (Integrated Disease Surveillance) data source. This study aims to compile and analyze a model of the spread of diphtheria using the SVIQR model. This model contains five subpopulations, namely susceptible (S), infected (I), cured (R), quarantined (Q) and vaccinated (V). Then determine the numerical simulation by estimating the parameters. From the results of numerical simulations of the mathematical model of diphtheria transmission under the influence of vaccination and quarantine, it shows that by selecting the vaccination fade rate parameter, =0.3795491181<1, which means that the disease-free equilibrium point is stable. The asymptotically stable endemic equilibrium point obtained is =1.207495030>1. The smaller the value of the vaccination fading rate parameter ε, the more asymptotically stable the disease-free point means that the spread of disease or endemic disease can be prevented if the vaccine given does not fade easily. Keywords: Stability Analysis, Mathematical Models, Diphtheria, Quarantine, Vaccination.
Lapisan Pemahaman Dan Folding Back Siswa Dalam Menyelesaikan Masalah Matematika Ditinjau Dari Adversity Quotient Aviv Puji Indah Sari; Abadi Abadi; Atik Wintarti
EDUKASIA: Jurnal Pendidikan dan Pembelajaran Vol. 4 No. 2 (2023): Edukasia: Jurnal Pendidikan dan Pembelajaran
Publisher : LP. Ma'arif Janggan Magetan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62775/edukasia.v4i2.590

Abstract

This study aimed to provide a comprehensive detail of comprehension development within the Pirie-Kieren layers of understanding and the process of students folding students in resolving issues related to a two-variable linear equation system, focusing on the concept of adversity quotient. The research employed a qualitative descriptive approach. The data was collected on 36 students from class VIII-B at State Senior High School 2 of Taman. Within this sample, 6 students were selected, comprising of 2 students classified as having a high adversity quotient (referred to as “climber”), 2 students with a moderate adversity quotient (referred to as “camper”), and 2 students with a low adversity quotient (referred to as “quitter”). The study used problem-solving tests and interviews as data-gathering techniques, followed by data analysis techniques outlined by Miles, Huberman, and Saldana. The findings of this study indicated that the climber students demonstrated proficiency across all eight layers of understanding, as proposed by Pirie and Kieren. Climber students exhibited the process of folding back, which involved retrieving previously learned information to effectively address the current challenge without deviating from the relevant subject matter. On the other hand, camper students could attain a level of comprehension that extends to the structuring layer, albeit with a limitation in terms of the maximum attainable layer. However, it is essential to note that not all indicators of layer understanding may be attained flawlessly by camper students. Camper students underwent a process of folding back, delving into deeper layers, and gathering additional information to ensure the accuracy of their work. Quitter students could attain the image-making layer because they use inappropriate methods. However, suppose they employ a trial and error; the resultant value must satisfy two equations. Camper students experienced folding back, delving into more profound layers, and gathering deeper layers to ensure their work's accuracy.