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All Journal dCartesian: Jurnal Matematika dan Aplikasi JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI SAINSMAT BAREKENG: Jurnal Ilmu Matematika dan Terapan Saintifik : Jurnal Matematika, Sains, dan Pembelajarannya Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika ARRUS Journal of Mathematics and Applied Science Journal of Mathematics: Theory and Applications SAINSMAT: Jurnal Ilmiah Ilmu Pengetahuan Alam Journal of Health, Education, Economics, Science, and Technology (J-HEST) Seminar Nasional Hasil Penelitian LP2M UNM Sipakaraya : Jurnal Pengabdian Masyarakat Jurnal Hasil-Hasil Pengabdian dan Pemberdayaan Masyarakat (JHP2M) SMART: Jurnal Pengabdian Kepada Masyarakat Journal of Mathematics, Computation and Statistics (JMATHCOS) d'Cartesian: Jurnal Matematika dan Aplikasi Signal and Image Processing Letters
Muhammad Abdy
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Optimal Control of a Mathematical Model for Monkeypox Transmission in Indonesia Using the Pontryagin Maximum Principle Musfira, Musfira; Side, Syafruddin; Abdy, Muhammad; Ridho, Andi Muhammad; Supriadi, Supriadi
Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam Vol 14, No 2 (2025): September
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/sainsmat142763342025

Abstract

Abstract: The re-emergence of Monkeypox poses significant public health challenges in Indonesia. This disease continues to spread due to its zoonotic nature and the high frequency of human-animal interactions. This study aims to model the transmission dynamics of Monkeypox using the SIQR (Susceptible, Infectious, Quarantined, Recovered) framework and apply optimal control strategies through the Pantryagin Maximum Principle (PMP). Data from the Indonesian Ministry of Health were utilised for model parameterisation, with numerical simulations conducted using the fourth-order Runge-Kutta method. Control strategies included quarantine, tecovirimat, and public education. The simulation results revealed that implementing optimal control reduced the infected population by up to 75% within the first 10 months compared to scenarios without control. The basic reproduction number () was successfully reduced from 2.5 to below 1, indicating that the outbreak was controlled. Additionally, the recovery rate increased by 30%, with the susceptible population achieving a disease-free equilibrium by the eighth month. These findings highlight that mathematically-driven interventions can provide effective solutions for managing infectious diseases. It is recommended that these strategies be integrated into public health policies to optimise resource allocation. Further research is necessary to evaluate the scalability of this approach for other zoonotic diseases.
The Optimal Control of Mathematical Models for Monkeypox Spread Using the Pontryagin Maximum Principle with Numerical Solution RK6 on Study in Indonesia: engglish side, syafruddin; Yusuf SAP, Andi Muh. Ridho; Musfira, Musfira; Abdy, Muhammad
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.9461

Abstract

This study examines the SIQR mathematical model by applying the Pontryagin Maximum Principle (PMP) and the 6th order Runge-Kutta (RK6) numerical solution to the spread of Monkeypox in Indonesia. This study aims to analyze and simulate the dynamics of the spread of Monkeypox and identify optimal control strategies that are effective in suppressing the rate of infection. This study has a population of 283,487,843 individuals. The results of this study show the effectiveness of implementing optimal control in reducing the spread of Monkeypox in the region. This study makes a significant contribution to the development of more efficient and targeted health policies in dealing with Monkeypox outbreaks, and offers valuable insights for future infectious disease control strategies.
Pelatihan Teknologi Digital Chatbot Interaktif Berbasis Poe AI dan Mathpix bagi Guru SMA di Kabupaten Majene Abdy, Muhammad; Anaguna, Nursyam; Musawwir, Musawwir; Rasyid, Muh. Rafli; Ikram, Fadhil Zil
Sipakaraya : Jurnal Pengabdian Masyarakat Vol 4 No 2 (2026): Sipakaraya : Jurnal Pengabdian Masyarakat
Publisher : Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/sipakaraya.v4i2.6141

Abstract

Kurangnya keterampilan guru dalam menggunakan teknologi pembelajaran digital untuk menciptakan efektifitas dan inovasi dalam mengevaluasi pembelajaran matematika yang sesuai dengan perkembangan zaman merupakan masalah yang dialami beberapa guru SMA Kabupaten Majene. Untuk mengatasi masalah tersebut, dilaksanakan kegiatan pelatihan dan pendampingan bagi guru yang bertujuan untuk: 1) meningkatkan keterampilan penggunaan teknologi digital Chatbot Interaktif berbasis Poe AI dan Mathpix dalam pembelajaran, dan 2) meningkatkan efektifitas dan inovasi guru dalam membuat soal dan rubrik penilaian melalui penggunaan teknologi digital Chatbot Interaktif berbasis Poe AI dan Mathpix. Metode pelaksanaan terdiri dari 4 tahapan yaitu: perencanaan, tindakan, observasi, dan evaluasi. Kegiatan pelatihan dilaksanakan selama 1 hari dan kegiatan pendampingan dilakukan selama 2 bulan. Peserta yang terlibat sebanyak 16 guru, di mana lokasi pengabdian dilaksanakan di SMA Negeri 2 Majene. Hasil pelatihan dan pendampingan menunjukkan terdapat peningkatan keterampilan guru dalam menggunakan teknologi digital Poe AI dan Mathpix. Selain itu, ada peningkatan efektifitas dan inovasi guru dalam menyusun soal yang bervariasi dan berkualitas dalam pembelajaran matematika melalui penggunaan teknologi Chatbot interaktif berbasis Poe AI dan Mathpix.
Co-Authors Ahmad Zaki Ahmar, Ansari Saleh Anaguna, Nursyam Anjani, Variska Annisa Uniarti Asdar Asdar Asmi, Nurul Asni, Asriani Arsita Aswi, Aswi Aulia, Hikma Auliah Khoirun Nisa Awaliyah, Narisa Fahira Awi Dassa Bahar, Nur Qadri Darmia, Darmia Dhea Ayu Rossyana Dewi Elfira Haryanensi A Faturachman Lukman Hisyam Ihsan Ika Pratiwi Ikram, Fadhil Zil Ilham Minggi Irwan Irwan Irwan Thaha Kaito, Nurlaila Mayangsari, Mayangsari Muh. Hadi Purnomo Muhammad Edy Rizal Muhammad Isbar Pratama Muhjria, Muhjria Mukarram, Trys Musawwir, Musawwir Musfira, Musfira Nur Ilmi Rahmah Abubakar Rahmat Syam Rahmawati, Rahmawati Rasyid, Muh. Rafli Reza Arisandi Ridho, Andi Muhammad Sahlan Sidjara Salsabila, Nurul Khofifah Sidjara, Sahlan Sri Julia Nensi Sukarna Supriadi Supriadi Syafruddin Side Syuhri, Ajrian Takdir, Nurfajri Hamdani Tina, Tina Wahidah Sanusi Wahyuni, Maya Sari Wahyuni, Maya Sari Yusuf Ramadana Yusuf S.A.P., Andi Muh. Ridho Yusuf SAP, Andi Muh. Ridho