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All Journal The Journal of Experimental Life Sciences (JELS) EIGEN MATHEMATICS JOURNAL Mandalika Mathematics and Educations Journal Contemporary Mathematics and Applications (ConMathA) Jurnal Diferensial Lombok Journal of Science Griya Journal of Mathematics Education and Application Rengganis Jurnal Pengabdian Masyarakat MATHunesa: Jurnal Ilmiah Matematika Journal of Research Applications in Community Services Bakti Sekawan : Jurnal Pengabdian Masyarakat Parameter: Jurnal Matematika, Statistika dan Terapannya Semeton Mathematics Journal Sinergi dan Harmoni Masyarakat MIPA Perspectives in Mathematics and Applications (PERMATA) E-Jurnal Matematika
Rio Satriyantara
Universitas Mataram
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Numerical Simulation of SIA Model in HIV/AIDS Using Euler and 4th OrderRunge-Kutta Method Dhity Rismawati; Livia Alda Rahmania; Naada Zahira; Nuzla Af’idatur Robbaniyyah; Satriyantara, Rio
Griya Journal of Mathematics Education and Application Vol. 5 No. 4 (2025): Desember 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i4.921

Abstract

The HIV/AIDS epidemic remains a major public health issue, particularly in regions such as West Nusa Tenggara, Indonesia, where the number of reported cases continues to rise. To better understand and predict the spread of the disease, mathematical modeling provides a valuable analytical tool. This study employs the SIA (Susceptible-Infected-AIDS) compartmental model to describe the dynamics of HIV/AIDS transmission within the population. The model incorporates a latent phase, distinguishing it from simpler models and making it more suitable for diseases with long incubation periods such as HIV/AIDS. Two numerical methods, that is Euler and the 4th Order Runge–Kutta (RK4), are applied to solve the system of nonlinear differential equations derived from the model. Using official epidemiological data from 2023 in West Nusa Tenggara, the simulation tracks the evolution of the population across the three compartments over a 12-month period. The results indicate a consistent decline in the number of susceptible individuals and an increase in both infected and AIDS-diagnosed individuals. The basic reproduction number, , suggesting that the disease is endemic in the region. Stability analysis further confirms that the disease-free equilibrium is unstable, while the endemic equilibrium is locally asymptotically stable. These findings highlight the urgency of targeted interventions and demonstrate the importance of mathematical models in guiding public health strategies for disease control.
Numerical Solution of a Fractional-Order Predator-Prey Model with Prey Refuge and Additional Food for Predator Satriyantara, Rio; Suryanto, Agus; Hidayat, Noor
The Journal of Experimental Life Science Vol. 8 No. 1 (2018)
Publisher : Graduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1177.162 KB) | DOI: 10.21776/ub.jels.2018.008.01.11

Abstract

In this paper, a fractional-order predator-prey model with prey refuge and additional food for predator is solved numerically. For that aim, the model is discretized using a piecewise constant arguments. The equilibrium points of the discrete fractional-order model are investigated. Numerical simulations are conducted to see the stability of each equilibrium point. The numerical simulations show that stability of the equilibrium points is dependent on the time step.Keywords: Additional Food, Fractional-Order, Predator-Prey, Prey Refuge.
ESTIMASI PANJANG GARIS PANTAI PULAU SUMBAWA MENGGUNAKAN DIMENSI FRAKTAL Muhammad Adriansyah; Rio Satriyantara; Afifurrahman; Marwan
MATHunesa: Jurnal Ilmiah Matematika Vol. 14 No. 01 (2026)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v14n1.p606-611

Abstract

This study aims to estimate the length of the Sumbawa Island coastline using a fractal geometry approach with the Box-Counting method. This method was chosen because it is able to describe the complexity and self-similarity of natural forms such as coastlines. Coastline image data was obtained from USGS Earth Explorer and processed using ArcGIS software and Python to perform edge detection. Calculations were performed at several map scales, namely 1:800,000, 1:900,000, and 1:950,000. The results show that the fractal dimension value of the Sumbawa Island coastline is relatively stable between 1.20882 and 1.21245, with an estimated coastline length ranging from 1702.79 km to 1760.86 km. The smallest error value of 0.1% was obtained at a scale of 1:800,000, which is considered to produce the most accurate estimate. These results indicate that the fractal approach is effective for estimating the length of complex coastlines, and provides a deeper understanding of the coastline paradox phenomenon in coastal geomorphology.
IMPLEMENTATION ON DIFFERENTIAL EQUATION OF MILNE-SIMPSON FOR PREDICTION FOR APPARENT POWER USAGE IN PLN (PERSERO) UIW NTB FITRAH RAMADHAN; RIO SATRIYANTARA; YUNITA SEPTRIANA ANWAR; I GEDE ADHITYA WISNU WARDHANA
E-Jurnal Matematika Vol. 15 No. 3 (2026)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2026.v15.i03.p509

Abstract

Electricity is one of the essential forms of energy required by humans in modern society. Consequently, the demand for electricity supply will continue to increase over time. Irregular or fluctuating electricity consumption can affect the readiness of power generation units to provide an adequate supply of electricity to consumers or the public. By predicting apparent power (VA), power companies can optimize generation efficiency, ensure grid stability, and reduce losses. This study applies the logistic equation model using annual apparent power usage data obtained from PT PLN (Persero) UIW NTB for the 2011–2024 period. The model parameters (growth rate r and carrying capacity K) were estimated directly from the historical data, and the differential equation was solved numerically using the Milne-Simpson method with initial values generated by the fourth-order Runge-Kutta approach. The logistic model is chosen for its ability to represent nonlinear growth toward a saturation capacity. Simulation results show a gradually increasing trend in VA usage that slows down as it approaches the saturation phase around 2030. Model validation, performed by comparing the numerical predictions with the actual historical data, shows very small relative errors ranging from 10⁻⁵ to 10⁻⁷, confirming that the Milne-Simpson method possesses high accuracy and stability.
Pengenalan Basic Coding sebagai Upaya Penguatan Literasi Digital di SMP Negeri 1 Praya Tengah Muhammad Imam Al Paqih; Muhammad Adriansyah; Ifan Hasnan Dani; Rida Alkausar Hardi; Fitrah Ramadhan; Rio Satriyantara; Maxtulus Junedy Nababan
Sinergi dan Harmoni Masyarakat MIPA Vol. 2 No. 1 (2025): Oktober
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/sinonim.v2i1.8566

Abstract

This community service activity aims to enhance students’ digital literacy through the introduction of basic coding at SMP Negeri 1 Praya Tengah. Digital literacy is an essential competence in the era of information technology, encompassing not only the ability to operate digital devices but also the capacity to think logically, critically, and creatively in solving problems using technology. This program was implemented by the MBKM MAPS team from the Department of Mathematics, University of Mataram, involving seventh-grade students as participants. The implementation stages included preparation (coordination and planning), execution (introduction to basic coding concepts using the Python language on the Google Colab platform), and evaluation through pre-test and post-test to measure the program’s effectiveness. The results of the paired samples t-test analysis indicated a significant improvement in students’ abilities after participating in the training, with a mean difference value of  and a significance value of . These results demonstrate that the activity successfully improved students’ understanding of programming logic and computational thinking skills. In addition to the statistical improvement, observations showed high enthusiasm among participants in practicing simple coding tasks. Overall, this activity has had a positive impact on enhancing digital literacy and represents an initial step in fostering a technology-based learning culture within the school environment.
Analisis Indeks ABC pada Invers dan Graf Non-Commuting Grup hingga Sefti Fajriatul Musyarrofah; Rio Satriyantara
Perspectives in Mathematics and Applications Vol 1 No 01 (2025): Juni
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v1i1.14

Abstract

This study investigates the Atom Bond Connectivity (ABC) index applied to inverse and non-commuting graphs of finite groups. The research focuses on two distinct structures: inverse graphs formed from generalized quaternion groups and non-commuting graphs derived from non-abelian finite groups. By utilizing topological index Theory, particularly the ABC index introduced by Estrada, the study aims to characterize the graph structures based on vertex degrees. The ABC index is determined using known group properties and edge classifications for the inverse graphs of generalized quaternion groups. Similarly, the ABC index of non-commuting graphs is explored by analyzing group centers and the connectivity patterns among non-central elements. The results reveal that the ABC index quantifies group connectivity, enhancing the understanding of structural properties in algebraic graph representations. This analysis contributes to the broader application of graph Theory in abstract algebra and theoretical chemistry.
Predicting Customer Numbers at PT PLN (Persero) West Nusa Tenggara Regional Main Unit Using the Prophet Time Series Model Rida Alkausar Hardi; Rio Satriyantara; Yunita Septriana Anwar; I Gede Adhitya Wisnu Wardhana
Contemporary Mathematics and Applications (ConMathA) Vol. 8 No. 2 (2026)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v8i2.88166

Abstract

Electricity is a fundamental need for modern society, and in developing regions such as West Nusa Tenggara, the continuous growth in the number of customers requires PT PLN (Persero) to conduct effective resource planning to prevent potential energy crises. This study aims to predict the growth of PLN’s customer numbers using the Facebook Prophet time series model. A quantitative approach was applied using monthly customer data from PT PLN (Persero) covering the period from January 2019 to December 2024. The model was optimized through a hyperparameter tuning process, and its performance was evaluated using the Mean Absolute Percentage Error (MAPE) metric. The results demonstrate that the optimized model achieved a MAPE of 0.27% during cross-validation. Analysis of the results indicates that the model effectively captured long-term growth trends and seasonal fluctuations. These findings suggest that the Prophet model can serve as a technical reference for forecasting customer numbers, potentially supporting strategic decision-making and resource allocation at PT PLN (Persero).
Co-Authors Abdurahim, Abdurahim Ade Irawan Adi Irawan Afifurrahman Agus Kurnia Agus Suryanto Alfian Eka Utama Alfian Eka Utama Alfian Eka Utama Andri Azmul Fauzi Ardana, Alfian Putra Ayes Malona Siboro Dara Puspita Anggraeni Dara Puspita Anggraeni Dara Puspita Anggraeni, Dara Puspita Dewi, Irma Risvana Dhity Rismawati Dwi Agustini Dwi Agustini, Dwi Fariz Maulana Farwan Farwan Farwan, Farwan Fathul Maulina Wahidah Fauzi, Muhammad Hilmi FITRAH RAMADHAN Fitrah Ramadhan Graha, Syifa Salsabila Satya Gusti Yogananda Karang Harsyiah, Lisa Helmi Hariyanti Hidayat, Malik Hidayatullah, Azka Farris I Gede Adhitya Wisnu Wardhana I Gede Adhitya Wisnu Wardhana Ifan Hasnan Dani Inayati, Rizqa Irma Risvana Dewi Irma Risvana Dewi Irma Risvana Dewi Irwansyah Irwansyah Irwansyah Irwansyah Karang, Gusti Yogananda Kusuma, Shendy Arya Lailia Awalushaumi, Lailia Lalu Riski Wirendra Putra Lia Fitta Pratiwi Lilik Hidayati, Lilik Lismawanti Safitri Livia Alda Rahmania Luzianawati, Luzianawati Maharani, Andika Ellena Saufika Hakim Malik, Deny Putra Mamika Ujianita Romdhini Marhani Marwan Marwan Marwan Maulana, Fariz Maxtulus Junedy Nababan Muhammad Adriansyah Muhammad Imam Al Paqih Muhammad Rijal Alfian Naada Zahira Neti Esta Wardaningsih Ni Nengah Anggita Purwanti Noor Hidayat, Noor Nuzla Af’idatur Robbaniyyah Pahrurrozi Pahrurrozi Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Putra, Lalu Riski Wirendra Putri, Syaftirridho Qurratul Aini Ramadhan, Hikmal Maulana Rendi Bahtiar Pratama Ria Maulina Rida Alkausar Hardi Rida Alkausar Hardi Ridwan, Lalu Muhammad Ripai, Ripai Rismayatun Ainun Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Rohmah, Zulfiani Salwa Salwa Satriawan Pradana Sefti Fajriatul Musyarrofah Siboro, Ayes Malona Syaftirridho Putri Syamsul Bahri Syifa Salsabila Satya Graha Tri Maryono Rusadi Trias Kurnia Tumilaar, Rinancy Utama, Alfian Eka Wahidah, Fathul Maulina Widiastuti, Ratna Sari Yunita Septriana Anwar Zarkasi Zarkasi Zata Yumni Awanis Zata Yumni Awanis Zikri, Lalu Muhammad Faiz Zulhan Widya Baskara