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Modeling the Ranking of Tourist Destinations in West Kalimantan Using the Fuzzy Analytical Hierarchy Process (FAHP) Approach Rama Valivi; Nilamsari Kusumastuti; Yudhi Yudhi; Bayu Prihandono
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2025)
Publisher : Universitas Ma'arif Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v9i2.6753

The selection of tourist destinations in West Kalimantan that meet tourist’s needs is a challenge for tourists, due to lack of information and involves various criteria that are subjective and uncertain. An analytical method is needed to evaluate and rank tourist destinations in West Kalimantan. This research aims to rank tourist destinations in West Kalimantan so that it can become an information tool for tourists. The Fuzzy Analytical Hierarchy Process (FAHP) is a multi-criteria decision-making method that combines the Analytical Hierarchy Process (AHP) with fuzzy logic concepts to overcome uncertainty and improve assessment accuracy. The FAHP is used in ranking cascade tourist destinations by determine the criteria (C) used in choosing tourist destinations, namely natural beauty, uniqueness of natural resources, accessibility, supporting facilities, safety and comfort, potential activities, popularity and reputation, and affordability. Furthermore, the research questionnaire was prepared based on the criteria. From the results of distributing research questionnaires, it can be determined that cascade tourism destinations are used as alternatives (A), namely Riam Jugan, Pangar, Ampakng, Mangoi, Batu Susun, Marum, Berawat'n, Parangek, Merasap, and Eria. Next, the calculation of the weight for each criterion (W) is carried out. After that, the weight matrix of each cascade tour is calculated against each criterion (X) and the preference value (Y) for each cascade tourist destination. The result of applying the FAHP method is the ranking of cascade tourist destinations based on the order of preference value (Y) from higher to lower.

PERBANDINGAN AKURASI METODE BOOLE’S RULE DAN METODE KUADRATUR GAUSS-LEGENDRE DALAM PENYELESAIAN INTEGRAL TENTU Ayuni, Resti; Prihandono, Bayu; Kusumastuti, Nilamsari
BIMASTER : Buletin Ilmiah Matematika, Statistika dan Terapannya Vol. 15 No. 1 (2026): Bimaster : Buletin Ilmiah Matematika, Statistika dan Terapannya
Publisher : Faculty of Mathematics and Natural Sciences Tanjungpura University

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Perhitungan integral merupakan konsep penting dalam matematika yang digunakan untuk menentukan luas area di bawah kurva, namun tidak semua fungsi dapat diselesaikan secara analitik. Penelitian ini perbandingan akurasi dua metode numerik, yaitu metode Boole’s Rule dan metode Kuadratur Gauss-Legendre dalam penyelesaian integral tentu. Metode Boole’s Rule merupakan pengembangan dari metode Newton-Cotes yang menggunakan polinomial berderajat empat dengan titik evaluasi berjarak sama, sedangkan metode Kuadratur Gauss-Legendre menggunakan titik evaluasi optimal dipilih dari akar polinomial Legendre. Penelitian ini bertujuan untuk menentukan metode yang lebih akurat antara metode Boole’s Rule dan Metode Kuadratur Gauss-Legendre berdasarkan galat pada dua fungsi integral tentu. Uji coba dilakukan pada fungsi trigonometri untuk interval dan fungsi transenden untuk interval dengan membandingkan hasil numerik terhadap nilai eksak. Hasil menunjukkan bahwa pada fungsi untuk interval dengan metode Gauss-Legendre memiliki tingkat akurasi lebih tinggi, dengan rata-rata galat relatif sebesar , sedangkan metode Boole’s Rule menghasilkan galat relatif sebesar untuk fungsi yang sama. Pada soal kedua, untuk fungsi untuk interval dengan hasil galat estimasinya pada Boole’s Rule sebesar , sedangkan Kuadratur Gauss-Legendre galat estimasinya sebesar . Dari kedua persoalan integral tersebut, metode Boole’s Rule memiliki galat relatif maupun galat estimasi yang lebih besar dibandingkan dengan metode Kuadratur Gauss-Legendre. Dengan lima titik evaluasi, hasil penelitian menunjukkan bahwa metode Kuadratur Gauss-Legendre lebih akurat dibandingkan dengan metode Boole’s Rule.

PEMODELAN MATEMATIKA PENYEBARAN PENYAKIT DEMAM BERDARAH DENGUE DENGAN LARVASIDA SEBAGAI PARAMETER INTERVENSI Mita Ekaristi; Bayu Prihandono; Evi Noviani
Epsilon: Jurnal Matematika Murni dan Terapan Vol 19, No 2 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i2.16718

Dengue Hemorrhagic Fever (DHF) remains a public health threat in Indonesia. This study aims to analyze the effectiveness of larvicides in controlling DHF through a mathematical modeling approach. This study developed an SIR-ASI model that considers the aquatic phase of mosquitoes. The model was formulated as a system of nonlinear differential equations by integrating the parameter of larval mortality due to larvicides . The basic reproduction number is derived using the Next Generation Matrix method. The stability of the system around the equilibrium point is analyzed using the Routh-Hurwitz criterion, which proves that the disease-free equilibrium point is locally asymptotically stable when . Numerical simulations indicate that increasing larvicide intensity significantly reduces from 3.19051 (without intervention) to 0.68281 (with intervention), equivalent to a 78.60% reduction. Sensitivity analysis identified u as one of the key parameters controlling along with mosquito bite frequency and mosquito mortality . The results of this study prove that larvicide intervention is effective in breaking the DHF transmission cycle by suppressing the vector population, thus making it a consideration in vector control strategies

Inovasi Media Pembelajaran Realistik Interaktif bagi Siswa Sekolah Dasar di Pulau Lemukutan Nur'ainul Miftahul Huda; Evi Noviani; Bayu Prihandono; Nilamsari Kusumastuti; Yundari Yundari; Helmi Helmi; Yudhi Yudhi; Fransiskus Fran; Meliana Pasaribu; Onelia Rochmah; Asri Rahmawati
Jurnal Pengabdian kepada Masyarakat Nusantara Vol. 7 No. 2 (2026): Edisi Mei - Agustus
Publisher : Lembaga Dongan Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55338/jpkmn.v7i2.8731

Kesenjangan mutu pendidikan di wilayah kepulauan, seperti di Pulau Lemukutan, diperparah oleh keterbatasan sarana pembelajaran matematika yang kontekstual. Pengabdian ini bertujuan mengatasi rendahnya pemahaman konsep matematika melalui implementasi pendekatan Realistic Mathematics Education (RME) berbasis media interaktif. Metode pelaksanaan meliputi sosialisasi, pendampingan belajar bagi siswa kelas IV-VI di SDN 06 Pulau Lemukutan, serta evaluasi hasil belajar. Hasil kegiatan menunjukkan dampak positif yang konkret bagi mitra. Pada kelas V dan VI, terjadi peningkatan skor rata-rata yang signifikan sebesar 12,31 poin, di mana mayoritas siswa berhasil mencapai kategori nilai tinggi (≥80) dengan sebaran kemampuan yang lebih merata. Meskipun peningkatan di kelas IV cenderung kecil (2,86 poin) karena adanya disparitas kemampuan awal, penggunaan media realistik terbukti meningkatkan motivasi dan keterlibatan aktif siswa dalam memecahkan masalah sehari-hari. Simpulan dari pengabdian ini adalah media realistik interaktif efektif menjadi solusi pembelajaran di wilayah pesisir, namun memerlukan strategi pendampingan diferensiasi tambahan untuk jenjang kelas yang lebih rendah guna memastikan pemerataan capaian belajar.

Kontrol Optimal Model Penyebaran Penyakit Demam Berdarah Dengue Menggunakan Prinsip Minimum Pontryagin Oktavia Arnelliza Ayu; Bayu Prihandono; Nilamsari Kusumastuti
KUBIK Vol 11 No 1 (2026): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v11i1.44998

Dengue hemorrhagic fever (DHF) is one of the major health problems in Indonesia. The spread of DHF will increase during the rainy season because the Aedes Aegypti mosquito as the main vector of disease spread will lay eggs and hatch their eggs in stagnant water so that they become mosquito larvae. The spread of DHF can be controlled by administering larvicides and the 3M movement (drain, cover, bury water storage containers) to reduce the population of infected humans and mosquitoes. In this study, the epidemic model is divided into six subpopulations namely Susceptible Host , Infected Host , Recovered Host , Aquatic phase , Susceptible vector and Infected vector . From the six subpopulations, an epidemic model is then formed by providing control. Furthermore, the optimal control method is applied based on the Pontryagin minimum principle method so that an optimal control is obtained and is obtained. Furthermore, the numerical solution is solved using the fourth-order Sweep Forward-Backward Runge Kutta method with the help of Python software. Based on the analysis and simulation results, it is shown that without control, the spread of dengue disease between humans and mosquitoes is rapid, with a sharp increase in the infected population. Implementing control measures such as larvicide application and 3M movement effectively reduces the number of infected humans and mosquitoes to very low throughout the simulation. Keywords: Optimal Control, DHF Disease Model, Pontryagin Minimum Principle

Kontrol Optimal Model Penyebaran Penyakit Demam Berdarah Dengue Menggunakan Prinsip Minimum Pontryagin Oktavia Arnelliza Ayu; Bayu Prihandono; Nilamsari Kusumastuti
KUBIK Vol 11 No 1 (2026): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v11i1.44998

Dengue hemorrhagic fever (DHF) is one of the major health problems in Indonesia. The spread of DHF will increase during the rainy season because the Aedes Aegypti mosquito as the main vector of disease spread will lay eggs and hatch their eggs in stagnant water so that they become mosquito larvae. The spread of DHF can be controlled by administering larvicides and the 3M movement (drain, cover, bury water storage containers) to reduce the population of infected humans and mosquitoes. In this study, the epidemic model is divided into six subpopulations namely Susceptible Host , Infected Host , Recovered Host , Aquatic phase , Susceptible vector and Infected vector . From the six subpopulations, an epidemic model is then formed by providing control. Furthermore, the optimal control method is applied based on the Pontryagin minimum principle method so that an optimal control is obtained and is obtained. Furthermore, the numerical solution is solved using the fourth-order Sweep Forward-Backward Runge Kutta method with the help of Python software. Based on the analysis and simulation results, it is shown that without control, the spread of dengue disease between humans and mosquitoes is rapid, with a sharp increase in the infected population. Implementing control measures such as larvicide application and 3M movement effectively reduces the number of infected humans and mosquitoes to very low throughout the simulation. Keywords: Optimal Control, DHF Disease Model, Pontryagin Minimum Principle

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