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All Journal JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vygotsky: Jurnal Pendidikan Matematika dan Matematika International Journal of Quantitative Research and Modeling Fraktal: Jurnal Matematika dan Pendidikan Matematika
Nasria Nacong
Universitas Tadulako
Computer Science & IT Decision Sciences, Operations Research & Management Engineering Environmental Science Mathematics Physics

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Kendali Optimal Model LCS Pada Populasi Tanaman Padi Sawah Dari Serangan Hama Tikus Sawah Dan WBC Menggunakan Prinsip Minimum Pontryagin Triwidodo, G; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15345

Abstract

ABSTRACT Rice field plants (Oryza sativa) is one of the main food crop that very essential for common poeple. On the other hand, rice become as the main commodity of the common poeple. According to Badan Pusat Statistik ( BPS ) data, the consumption of it in 2011 reached 139 kg of due to 237 million of Indonesian resident. The cultivation of rice field production obstacle is the pest attack. The able prime pest that caused the rice production damage is field mouse pest (Rattus argintiventer) and rice stem pest (Nilaparvata Lugens). Both types have a very high reproduction rate. This research studies mathematically the damage of rice field plants population control at vegetative phase. That designed to minimize the number of vegetative rice population phase. A logistic Competing Species model is built to describe the interaction between both the pest at the vegetative phase rice growth. The Pontryagin minimum principles is used to determine the optimal control solution. The solution is solved from the state and co-state equation that stationery evaluated using the indexed performance with optimal control and . The research result of indicate that the optimal control just optimalize the vegetative rice phase damage while the pest is not optimalized yet. Keyword : Stability, Jacoby Matrix, Eigen Value, Pontryagin Minimum, Oryza Sativa, Rattus Argintivente, Nilaparvata Lugens
Analisis Kestabilan Model Penyebaran Penyakit Tungro Pada Tanaman Padi Melalui Vektor Wereng Hijau (Nephotetix Virescens) Landita, A; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15346

Abstract

ABSTRACT Tungro is a disease of rice plant (Oryza sativa) caused by tungro rice plant virus called Rice Tungro Baciliform Virus (RTBV) and Rice Tungro Spherical Virus (RTSV). Those viruses are transmitted by green planthopper vector (Nephotettix virescens). Rice tungro virus, that attack at vegetative phase, could make the rice plant tiny. This research governs a tungro transmission model that consider the rate of growth, natural mortality and virus infection as parameters. The interaction between green planthopper vector and spider as the predator of it is also considered. The other one is the probability of successes contacts between the green planthopper vectors with the susceptible rice population and tungro infected rice. The model, that modified from Susceptible-Infected model, has two critical endemic points of, and The stability of both points are analyzed using linearity and Routh hurwitz criteria. To reach their stability, the first critical point requires the values of natural death of green planthopper vector that must bigger than natural death of rice plant and the second critical point requires the natural growth rate of the spider predator must smaller than its natural death. Keywords : Analysis of Stability, Routh-Hurwitz Criteria, Tungro
Dinamika Populasi Pada Ekosistem Mangrove Hajar; Puspita, J W; Nacong, N; Ridwan
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2021.v18.i1.15534

Abstract

Budidaya mangrove merupakan salah satu upaya untuk meminimalisir kerusakan ekosistem laut dan lingkungan sekitarnya saat terjadi tsunami. Eksistensi ekosistem mangrove perlu dijaga dan dilestarikan secara berkelanjutan. Kepiting Uca memiliki peranan penting pada rantai makanan yang berlangsung dalam ekosistem mangrove. Penelitian ini bertujuan mengkaji interaksi antara populasi mangrove dan populasi kepiting Uca dalam ekosistem mangrove melalui pendekatan model matematika. Kami memperoleh empat titik kritis dari model yang telah dibangun. Tiga titik kritis dari model matematika eksis tanpa syarat, namun tidak stabil. Sedangkan titik kritis keempat yang menggambarkan kondisi koeksistensi populasi mangrove dan kepiting Uca dapat dijamin kestabilan lokalnya jika syarat kestabilannya terpenuhi. Hal ini mengindikasikan bahwa kehadiran populasi kepiting Uca dapat menjaga kelestarian ekosistem mangrove. Simulasi numerik diberikan untuk mendukung hasil analitik.
Analisis Kestabilan Model Seak Pada Penyebaran Penyakit Filariasis Wahyudin, A; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2021.v18.i1.15537

Abstract

Filariasis or elephantiasis is a disease caused by infection of filarial worms. This research studies the spread model of elephantiasis disease that is influenced by the birth rate, the natural mortality rate, the transfer rate of susceptible exposed mosquito to the exposure due to the interaction between susceptible mosquito and infected human population, the transfer rate of exposed mosquito to the infected, the transfer rate of vulnerable human to the exposure human populations as a result of the mosquito and susceptible human intraction, the transfer rate of exposed human population to the infected human population, and the transfer rate of the infected human population to chronically human population. Filariasis disease spread model is built in form of Susceptible - Exposed - Acute - Kronic (Seak). The model is a nonlinear differential equations system of dependent variables that are the vulnerable, exposed, infected human populations, and chronic and vulnerable exposed, and infected mosquito population. The model has a critical point namely that represents the free-disease conditions and the critical point that represents an endemic condition. The critical points is analyzed using the method of linearized stability and Routh Hurwitz criteria. is the vertical point stable while is unstable. The result indicates that the free- disease condition is settled, while the endemic will be left in a long time period. It could also be interpreted that the endemic have a chance be overcome.
Pendukung Keputusan Penerima BLT-Dana Desa Menggunakan Metode Weight Product Nacong, N; Lusiyanti, D
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 19 No. 1 (2022)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2022.v19.i1.15692

Abstract

Bantuan Langsung Tunai Dana Desa (BLT-Dana Desa) adalah program bantuan pemerintah berjenis pemberian uang tunai atau beragam bantuan lainnya. Bantuan ini diberikan untuk masyarakat miskin dengan tujuan untuk mengurangi dampak dari pandemik COVID-19. Penyaluran BLT- Dana Desa masih banyak permasalahan yang harus diselesaikan, diantaranya yaitu proses penyaluran masih terlambat, minimnya informasi terhadap penerima bantuan, penerima bantuan tidak tepat sasaran, timbulnya potensi konflik di desa, dan lain sebagainya. Tujuan dari penelitian ini untuk merancang Pendukung Keputusan pemberian BLT-Dana Desa mengggunakan metode Weighted Product (WP). Metode WP dipilih karena mampu menyeleksi alternatif terbaik dari sejumlah alternatif dan melakukan proses perangkingan sehingga dapat mempermudah pihak pengambil keputusan dalam menentukan penerima BLT- Dana Desa. Hasil penrelitian menunjukkan bahwa alternatif ke-12 yang layak menjadi prioritas menerima BLT- Dana Desa dengan nilai vektor sebesar 0,6006
Optimalisasi Biaya Transportasi Pendistribusian Produk Pangan di Kota Palu Menggunakan Model Transportasi Metode Modified Distribution (Modi) (Studi Kasus: PT. Indomarco Adi Prima): Optimalisasi Biaya Transportasi Pendistribusian Produk Pangan Di kota Palu Menggunakan Model Transportasi Metode Modified Distribution (MODI) (Studi Kasus : PT. Indomarco Adi Prima) Maslin, D Y; Jaya, A I; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 2 (2021)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2021.v18.i2.15711

Abstract

Setiap perusahaan di dunia selalu mengharapkan keuntungan yang semaksimal mungkin agar siklus hidup perusahaan tersebut berjalan dengan baik. Untuk itu, perusahaan tersebut harus mampu mengatur sedemikian rupa biaya yang digunakan agar tetap terjadi rentang antara pengeluaran dan pemasukan perusahaan. PT. Indomarco Adi Prima merupakan salah satu perusahaan yang bergerak dalam bidang produk pangan masih kesulitan untuk menentukan metode yang tepat dalam mengoptimalkan biaya transportasi. Oleh karena itu, penelitian ini bertujuan untuk memperoleh biaya transportasi optimal pada PT. Indomarco Adi Prima di kota Palu dengan menggunakan metode Modified Distribution (MODI). Dari hasil penelitian ini menunjukkan bahwa sebelum menerapkan metode Modified Distribution (MODI) biaya transportasi yang dikeluarkan oleh PT. Indomarco Adi Prima yaitu sebesar Rp. 61.510.000 dan biaya transportasi yang di hasilkan setelah menggunakan metode Modified Distribution (MODI) yaitu sebesar Rp. 55.565.000. Hal ini menunjukkan bahwa PT. Indomarco Adi Prima dapat mengoptimalkan biaya transportasi untuk pendistribusian produk pangan pada bulan Desember 2020 dengan penghematan biaya pendistribusian sebesar Rp. 5.945.000 atau sekitar 10,7%.
Penyelesaian Persamaan Diferensial Menggunakan Metode Runge Kutta Orde Keenam Dengan Algoritma Paralel Al Fajri, Iman; Hendra; Kusuma, Jeffry; Musdalifah, Selvy; Nacong, Nasria; Sain, Hartayuni; Arsal, Armayani
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 20 No. 2 (2023)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2023.v20.i2.16354

Abstract

Penelitian tentang paralelisasi terus mengalami perkembangan saat ini, termasuk dalam perhitungan numerik. Pada tulisan ini akan dibahas penyelesaian persamaan diferensial menggunakan metode Runge-Kutta orde keenam dengan algoritma paralel. Makalah ini menyajikan penurunan dari metode Runge-Kutta orde keenam yang cocok untuk implementasi secara paralel. Pengembangan model paralel didasarkan pada struktur ketersebaran. Hasil perhitungan dengan model paralel kemudian akan dibandingkan dengan model sekuensial dari sisi akurasi dan waktu eksekusi. Pehitungan numerik menunjukkan bahwa metode paralel lebih mendekati solusi analitik, artinya akurasinya lebih baik. Ditinjau dari sisi waktu eksekusi, metode paralel juga memiliki keunggulan dibandingakan dengan metode sekuensial, yaitu lebih cepat.
Mathematical Model of The Spread of Foot and Mouth Diseases (FMD) Hajar; Nacong, Nasria
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 21 No. 1 (2024)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2024.v21.i1.16853

Abstract

Foot and Mouth Disease (FMD) is a contagious animal disease and can cause death. FMD is caused by an RNA virus belonging to the genus Apthovirus, family Picornaviridae. FMD can be transmitted through direct contact with exposed animals, indirect contact and through the air. In this research, a mathematical model of the spread of FMD in animal populations will be constructed by adapting the SIR (Susceptible, Infected, Recovered) model. From this model two critical points are obtained. The first critical point is the disease-free critical point and the second critical point is the endemic critical point for FMD. The existence of can be guaranteed, because all parameters are positive. And it is stable jika .. Furthermore exists and is stable if ..
Penerapan Model Antrian Untuk Mengoptimalisasikan Pelayanan Pada Loket Pengambilan Obat Di Puskesmas Desa Meko Molanu, Irmawati; Jaya, Agus Indra; Nacong, Nasria
Fraktal : Jurnal Matematika dan Pendidikan Matematika Vol 5 No 2 (2024): November 2024
Publisher : Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/fractal.v5i2.17264

Abstract

Queuing is a waiting line state where a number of entrants are involved to get services from a service providing facility. One example of queuing activities that are common in the community is taking medicine at the Meko Village Health Center. The purpose of this study was to obtain an optimal queuing model at the drug collection counter at the Meko Village Health Center. Based on the analysis, at this time the service at the drug collection counter at the Meko Village health center that uses queues with a single channel single phase (M/M/1) model is not optimal. To optimize services, the application of the multi-channel single phase multiple line queue model (M/M/c) where c = 3 results in a measure of system performance, namely the probability of no customers in the system ( ) is 0.034 = 3.4%, the service utility rate (ρ) is 0.866 = 86.6%, number patient in the queue ( ) is 5 customers, number patient in the system ( ) is 8 customers, waiting time in the queue ( ) is 22,38 minutes, and waiting time in the system ( ) is 34,38 minutes. By applying the multi-channel single phase (M/M/c) multiple line queue model, it becomes an alternative solution in providing good and optimal service to patients at the Meko Village health center.
The Effect of Macroeconomic Variables on Indonesia's Import Value Using the OLS Method Januaviani, Trisha Magdalena Adelheid; Kalfin; Hutabarat, Aned Miranda; Nikita; Musdaifah, Selvy; Nacong, Nasria
International Journal of Quantitative Research and Modeling Vol. 6 No. 3 (2025): International Journal of Quantitative Research and Modeling (IJQRM)
Publisher : Research Collaboration Community (RCC)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijqrm.v6i3.1070

Abstract

This study analyzes the factors influencing Indonesia’s import value during the period 2021–2025 using the Ordinary Least Squares (OLS) method. To ensure the validity of the model, a series of classical assumption tests were conducted in accordance with the Best Linear Unbiased Estimator (BLUE) criteria, including tests for normality, multicollinearity, heteroscedasticity, and autocorrelation. The data were obtained from official publications of the Central Statistics Agency (BPS) and other relevant sources. The estimation results demonstrate that the independent variables, namely the exchange rate (X₁), national income (X₂), foreign exchange reserves (X₃), inflation rate (X₄), and interest rate (X₅), exert varying effects on Indonesia’s import value, with certain variables exhibiting significant influence while others remain insignificant. The model is free from violations of the classical assumptions, thereby meeting the criteria of the Best Linear Unbiased Estimator (BLUE). Keywords: Import Value, OLS, Classical Assumption Tests, Macroeconomics
Co-Authors Agus Indra Jaya Al Fajri, Iman Andri Andri Armayani Arsal Azim Desy Lusiyanti Gusmawan, T Hajar Hajar Hajar Hartayuni Sain Hutabarat, Aned Miranda Islami, N Januaviani, Trisha Magdalena Adelheid Jaya, A I Jeffry Kusuma Kalfin Landita, A Maslin, D Y Maulidyani Abu Molanu, Irmawati Muh. Ali Akbar Muliyani, N Musdaifah, Selvy Mutmainnah, M Nikita Nurwijayanti Puspita, J W Rahmadani, A W Ridwan Rina Ratianingsih Saldi Saldi Selvy Musdalifah Sretiani, N K Triwidodo, G Wahyudin, A