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Jurnal Matematika UNAND
Published by Universitas Andalas
ISSN : 2303291X     EISSN : 27219410     DOI : -
Core Subject : Science, Education,
Computer Science & IT Mathematics
Fokus dan Lingkup dari Jurnal Matematika FMIPA Unand meliputi topik-topik dalam Matematika sebagai berikut : Analisis dan Geometri Aljabar Matematika Terapan Matematika Kombinatorika Statistika dan Teori Peluang.
Arjuna Subject : -
Articles 6 Documents
 1 
Search results for , issue "Vol. 14 No. 2 (2025)" : 6 Documents clear
MODEL MATEMATIKA PENYEBARAN COMPULSIVE BUYING DISORDER PADA E-COMMERCE DENGAN ADANYA INFLUENCER Asih, Tri Sri Noor; Pertiwi, Diyah Esti Cahyo
Jurnal Matematika UNAND Vol. 14 No. 2 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.2.139-153.2025

Abstract

Kini masyarakat telah beralih menggunakan e-commerce untuk memenuhi kebutuhan hidup mereka melalui belanja online. Promosi influencer merupakan salah satu penyebab seseorang melakukan impulsive buying, yaitu pembelian yang tidak rasional dan terjadi secara spontan pada saat itu juga. Perilaku ini jika dilakukan secara berulang akan menimbulkan Compulsive Buying Disorder (CBD) atau yang biasa disebut sebagai kecanduan belanja. Adapun tujuan penelitian ini adalah membangun model matematika, menentukan titik kesetimbangan dan bilangan reproduksi dasar, menganalisis titik kestabilan titik kesetimbangan, serta melakukan simulasi numerik menggunakan Maple. Pada penelitian ini model dibagi menjadi lima populasi yaitu subpopulasi Potential, subpopulasi Medium Compulsive, subpopulasi Influencer, subpopulasi High Compulsive, dan subpopulasi Recovered. Dari hasil analisis kemudian diperoleh dua titik kesetimbangan yaitu titik kesetimbangan bebas CBD dan titik kesetimbangan terdapat CBD yang stabil asimtotik lokal. Berdasarkan hasil simulasi diketahui bahwa perubahan pada peluang influencer dalam mempengaruhi individu medium compulsive melakukan impulsive buying $(\theta)$ memberikan pengaruh signifikan terhadap nilai bilangan reproduksi dasar $(R_0)$ dan titik kesetimbangan yang diperoleh. Semakin tinggi nilai $\theta$ maka semakin cepat meningkat juga jumlah individu yang menderita CBD (high compulsive) dan semakin cepat menuju titik kesetimbangan pada waktu t.
Mathematical Model of COVID-19 with Aspects of Community Compliance to Health Protocols Gautama, I Putu Winada; Wijayakusuma, IGN Lanang; Swastika, Putu Veri; Dwipayana, I Made Eka
Jurnal Matematika UNAND Vol. 14 No. 2 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.2.154-166.2025

Abstract

COVID-19 infection is still a health problem in various countries. Some people who recover from COVID-19 still experience some symptoms. Therefore, it is essential to implement health protocols to minimize transmission of the COVID-19 virus. Based on this, a mathematical model of COVID-19 with aspects of community compliance with health protocols is presented. The population is divided into three subpopulations: the susceptible subpopulation, the exposed subpopulation, and the infected subpopulation. The basic reproduction number, $R_0$, determines whether there are disease-free and endemic equilibrium points. When $R_0$ is less than 1, the disease-free equilibrium is locally asymptotically stable. Conversely, when $R_0$ is greater than 1, the endemic equilibrium point is locally stable. Numerical simulations will demonstrate how COVID-19 spreads, taking into account community adherence to health guidelines. The results of numerical simulations indicate that an increase in public adherence to health protocols leads to a decrease in the number of COVID-19 infections.
OPTIMAL BLOOD GLUCOSE CONTROL IN TYPE 1 DIABETIC PATIENTS BY USING PONTRYAGIN’S MINIMUM PRINCIPLE AND EXTENDED KALMAN FILTER Sa'adah, Aminatus; Paramadini, Adanti Wido
Jurnal Matematika UNAND Vol. 14 No. 2 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.2.117-128.2025

Abstract

Artificial Pancreas (AP) is an advanced diabetes management technology. AP requires an automatic control algorithm to determine the level of insulin injection based on the glucose level calculated on the Continuous Glucose Monitoring (CGM) sensor. Bergman Minimal Model (BMM) is a basic model in describing the dynamics of glucose-insulin in the human body. This study aims to determine the optimal control using Pontryagin’s Minimum Principle (PMP), which is subject to reducing glucose levels in type 1 diabetes patients to be within the normal glucose level interval of 80-120 mg/dL. The BMM parameter values will be estimated using EKF to support the acquisition of precise and personal numerical simulations. Based on the control de sign simulation that has been obtained, the optimal control of insulin injection is given maximally (25 mU/L) during the first two hours of observation; then, the level decreases slowly until it reaches 0 at 12 hours of observation. This scenario successfully reduces the patient’s glucose levels at the end of the observation period from 170.4 mg/dL (with out control) to 121.2 mg/dL. This result providing a confident basis for initial future research and development in diabetes management.
MIXTILINEAR EXCIRCLE ON THE ANGLE TRISECTOR OF A TRIANGLE Fionari, Gebi; Mashadi, Mashadi; Syafitri, sukma Novia
Jurnal Matematika UNAND Vol. 14 No. 2 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.2.129-138.2025

Abstract

The most famous theorem on the angle trisector of a triangle is Morley’s theorem, namely the existence of an equilateral triangle formed from the trisector of its three angles. In this article, the mixtilinear excircle concept will be developed for triangles formed by constructing angle trisectors in a triangle. The results obtained will be expressed in the form of a theorem which states the ratio of several mixtilinear excircles whose value is equal to one. Apart from that, the ratio of several mixtilinear excircles can also be expressed in tangen form of the angles formed.
PENERAPAN METODE FUZZY TIME SERIES RUEY CHYN TSAUR DALAM MEMPREDIKSI HARGA KERNEL SAWIT Rahmawati, Rahmawati; Jannah, Zahratul; Rahma, Ade Novia
Jurnal Matematika UNAND Vol. 14 No. 2 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.2.178-194.2025

Abstract

Kernel atau yang dikenal dengan inti sawit merupakan bagian terpenting dari buah sawit. Proses pengolahan kernel mencakup pemisahan antara serabut dan biji, serta pemisahan cangkang dan inti sawit (kernel). Cangkang sawit dimanfaatkan sebagai bahan bakar ketel uap, arang, pengeras jalan dan berbagai kegunaan lainnya. Sementara kernel sawit diolah lebih lanjut menjadi minyak inti sawit. Penelitian ini bertujuan untuk mengetahui hasil prediksi harga kernel sawit di Provinsi    Riau tahun 2024. Metode yang digunakan dalam penelitian ini yaitu Fuzzy Time Series Ruey Chyn Tsaur, dengan kelebihan metode tersebut dapat menangani data tidak pasti dan fluktuatif, tanpa distribusi data tertentu, mampu memprediksi pola musiman, meningkatkan akurasi prediksi dengan interval dinamis, mudah diimplementasikan, dan mampu untuk memprediksi secara jangka pendek ataupun panjang. Penelitian ini memiliki keterbaruan dalam objek yang diteliti yaitu prediksi pada sektor pertanian, sedangkan sebagian besar studi sebelumnya menggunakan Fuzzy Time Series hanya dalam memprediksi sektor keuangan atau ekonomi. Hasil prediksi menggunakan metode Fuzzy Time Series Ruey Chyn Tsaur menunjukkan bahwa prediksi harga kernel sawit perkilogram pada tahun 2024 di Provinsi Riau memiliki rata-rata harga yang turun dari tahun 2023, yang disebabkan beberapa faktor seperti penawaran yang melimpah, penurunan permintaan, dan perubahan harga minyak sawit. Hasil penelitian ini memiliki tingkat keakuratan prediksi yang tinggi yaitu sebesar 95,59%, maka dapat disimpulkan bahwa prediksi harga kernel sawit tersebut menghasilkan nilai prediksi  yang sangat baik.
HAMILTONIAN CYCLES IN WIJAYA KUSUMA FLOWER GRAPH Nurdin, Susilawati; Nasution, Dinda Khairani
Jurnal Matematika UNAND Vol. 14 No. 2 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.2.167-177.2025

Abstract

In 1856, William Rowan Hamilton introduced the Icosian game. From this game, the concept of a Hamiltonian graph is defined. Hamiltonian graph is a graph that contains the Hamiltonian cycle, which is a cycle that passes through each vertex exactly once. We constructed a new class of graph which is inspired by the Wijaya Kusuma flower. In this article, we study the Hamiltonian properties of the Wijaya Kusuma flower graph. Based on the proof, it is concluded that the Wijaya Kusuma flower graph is a Hamiltonian graph.

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