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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Jurnal Sains Dasar PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika JURNAL ILMIAH MATEMATIKA DAN TERAPAN MUST: Journal of Mathematics Education, Science and Technology BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) MATAPPA: Jurnal Pengabdian Kepada Masyarakat Teorema: Teori dan Riset Matematika Journal of Education Technology Jambura Journal of Mathematics Jurnal Matematika UNAND Transformasi : Jurnal Pendidikan Matematika dan Matematika Jurnal Saintika Unpam : Jurnal Sains dan Matematika Unpam ESTIMASI: Journal of Statistics and Its Application Majalah Ilmiah Matematika dan Statistika (MIMS) Jambura Journal of Biomathematics (JJBM) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Journal of Science and Technology JES-MAT (Jurnal Edukasi dan Sains Matematika) MATHunesa: Jurnal Ilmiah Matematika METIKS: Jurnal Teknik Mesin, Elektro, Informatika, Kelautan & Sains Pattimura International Journal of Mathematics (PIJMath) Jurnal Sintak Jurnal Matematika Integratif Journal of Mathematics, Computation and Statistics (JMATHCOS) Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa

Agusyarif Rezka Nuha

Universitas Negeri Gorontalo

Author-ID : 1730359

Automotive Engineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Physics Transportation

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Advanced Differential E-Module: Integrating Case-Based and Visual Exploration Takaendengan, Bertu Rianto; Nuha, Agusyarif Rezka; Damayanti, Taulia; Asriadi; Janna, Miftahul; Anggraini, Fitriana
Journal of Education Technology Vol. 8 No. 4 (2024): November
Publisher : Universitas Pendidikan Ganesha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jet.v8i4.85781

One of the main challenges in learning advanced calculus is students' difficulty understanding complex concepts and visualizing function graphs, especially in learning partial derivatives. To overcome this challenge, this study focuses on developing an advanced differential e-module that integrates case studies with visual exploration. This study uses the ADDIE development model, which includes five stages: Analysis, Design, Development, Implementation, and Evaluation. The research subjects are material experts and learning media. The trial subjects are 15 students from the Mathematics Education Study Program. The data collection method uses a questionnaire. The research instruments include an assessment of the validity and practicality of the developed learning media. The techniques used in analyzing the data are qualitative and quantitative descriptive analysis. The study results indicate that this e-module achieves a good level of feasibility, which means that the module is in line with educational objectives and shows a very good level of practicality in the classroom. Students responded positively to its use, especially because of its case-based and visual nature. In addition, for further research, this e-module has the potential to be adapted to other areas of mathematics education by integrating additional technology features and other materials. By enhancing visualization and interactivity, this e-module can significantly enhance students' learning experience in mathematics education.

Penerapan metode SARIMAX dalam meramalkan produksi ikan Nike di provinsi Gorontalo Djibran, Fahrudin; Djakaria, Ismail; Nuha, Agusyarif Rezka
PYTHAGORAS : Jurnal Program Studi Pendidikan Matematika Vol 14, No 1 (2025): PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika
Publisher : UNIVERSITAS RIAU KEPULAUAN, BATAM, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33373/pyth.v14i1.7512

Produksi ikan nike (Awaous Welanocephalus) di Gorontalo mengalami penurunan rata-rata 14 ton per tahun dalam tiga tahun terakhir. Analisis data tahun 2020–2021 menunjukkan tren penurunan produksi yang dipengaruhi oleh faktor eksternal seperti curah hujan, degradasi vegetasi bantaran sungai, peningkatan aktivitas pembangunan di muara, serta eksploitasi sumber daya seperti penambangan pasir dan batu. Kondisi ini mengancam keberlanjutan sumber daya ikan nike, terutama karena belum adanya upaya budidaya dan masih bergantung pada hasil tangkapan alam. Oleh karena itu, penelitian ini bertujuan untuk meramalkan produksi ikan nike di Provinsi Gorontalo menggunakan metode Seasonal Autoregressive Integrated Moving Average with Exogenous Variables (SARIMAX) dengan mempertimbangkan curah hujan sebagai variabel eksternal. Data yang digunakan mencakup produksi ikan nike dan curah hujan dari tahun 2020 hingga 2024 yang diperoleh dari Dinas Kelautan dan Perikanan serta Badan Pusat Statistik (BPS). Analisis dilakukan melalui uji stasioneritas data, pemodelan SARIMAX, serta evaluasi akurasi menggunakan Mean Absolute Percentage Error (MAPE). Hasil penelitian menunjukkan bahwa produksi ikan nike memiliki pola musiman yang dipengaruhi oleh curah hujan, dengan model SARIMAX(1,2,1)(0,0,1)12 memberikan hasil peramalan yang akurat dengan nilai MAPE sebesar 16,66%. Model ini dapat digunakan sebagai alat bantu dalam pengelolaan sumber daya perikanan yang berkelanjutan di Gorontalo.

DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES Abdul, Nur Safitri; Yahya, Lailany; Resmawan, R.; Nuha, Agusyarif Rezka
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

This research discusses the math model of spreading cholera disease with a mathematical strategy of math model constructed by considering a vaccination strategy. In addition, there is a population of hyperinfectious and lessinfectious bacteria so that the model of SVIR-BhiBli type, by. The model formed in the form of determination of fixed point, determination of basic reproductions numbers, analyzing the equilibrium point and sensitivity analysis. The equilibrium analysis produces two equilibrium points of a immediate-free equilibrium point of aceletotic local if and endemic equilibrium points will be stable local asymptotics if . Furthermore, numerical simulation that the increase in vaccination rate influences on the decline in value while increased rate of vaccine depreciation can increase the value of . In addition, sensitivity analysis shows that if the parameter is enhanced while other contrast parameters will contribute to the increase in value, as a result can increase the rate of transmission of cholera disease. Whereas if the parameter is enhanced while other contrast parameters will contribute to the decrease in value, as a result of the dissemination of the disease can be pressed very significantly.

ANALYSIS OF OPTIMUM CONTROL ON THE IMPLEMENTATION OF VACCINATION AND QUARANTINE ON THE SPREAD OF COVID-19 Nuha, Agusyarif Rezka; Achmad, Novianita; Rahman, Gusti Arviana; Abdullah, Syarif; Chasanah, Sri Istiyarti Uswatun; Valentika, Nina; Nashar, La Ode
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

This study constructs an SVIR-type COVID-19 spread model into a model with control variables or optimum control problems. In the formulation of the model with controls, we set four control variables, namely vaccination strategy, quarantine, reduction of vaccine shrinkage, and treatment. Pontryagin 's maximum principle is applied in the model as a sufficient condition to achieve optimum conditions for minimizing the objective function . This study uses a numerical solution to describe the theoretical results. The results showed that the control model could accelerate the decrease in the number of individuals in the infected population class. We found that vaccination is a top priority that needs to be done to reduce the number of cases of COVID-19 infection. In addition, the implementation of quarantine can also be considered to accelerate the decrease in the number of individuals infected with COVID-19.

DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL FOR THE CHOLERA DISEASE SPREAD INVOLVING MEDICATION AND ENVIROMENTAL SANITATION Resmawan, R; Yahya, Lailany; Mahmud, Sri Lestari; Nuha, Agusyarif Rezka; Laita, Nazrilla Hasan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

This study aims to analyze the mathematical model of the cholera disease spread involving medicationnd environmental sanitation. The model was analyzed by determining the equilibrium point and the basic reproduction number. The next step was to analyze the equilibrium point, sensitivity, and simulate numerically. Analysis of the stability of the disease-free and endemic equilibrium points usedhe Routh-Hurwitz criteria and the Castillo-Chaves and Song Theorem. The Analysis resultf the model produced two equilibrium points; namely the disease-freequilibrium point for local asymptotic stability and the endemic equilibrium point for local asymptotic stability if . Furthermore, the sensitivity analysis indicated the most sensitive parameters for basic reproductive number changes in succession are the parameters for natural birth rates , the transmission rate of bacteria from the environment to humans , the saturated concentration of bacteria in water , an increase in the bacterial population caused by environmental pollution rate by humans . Numerical simulations suggest an increase to give vaccine can contribute to slowing the transmission of cholera where as the reduction of a vaccine able to promote the transmission of cholera diseases.

Model Matematika Penyebaran Penyakit Demam Berdarah Dengue dengan Faktor Kesadaran Sosial: Analisis dan Simulasi Djuma, Clara Anggriani; Achmad, Novianita; Nuha, Agusyarif Rezka; Hasan, Isran K.; Arsal, Armayani
Jambura Journal of Mathematics Vol 7, No 2: August 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v7i2.33921

Dengue haemorrhagic fever (DHF) is a serious health problem in many tropical regions, including Indonesia. The spread of this disease is influenced by various factors, one of which is the level of social awareness in the prevention and control of infection. This study developed a mathematical model of DHF spread by integrating social awareness as an additional compartment. The model was analysed by determining the equilibrium points and the basic reproduction number (R0), as well as stability analysis using the Routh–Hurwitz criterion. The analysis results show the existence of two types of equilibrium points: the disease-free equilibrium point (T1) and the endemic equilibrium point (T2). Point T1 is locally asymptotically stable when R0 1 and unstable when R0 1, while point T2 is locally asymptotically stable when R0 1. Sensitivity analysis shows that the social awareness parameter significantly influences the value of R0. Additionally, numerical simulations indicate that increasing social awareness can effectively reduce disease spread and drive the system toward a disease-free state. These findings underscore the importance of community-based awareness interventions in dengue control strategies.

KOMBINASI ALGORITMA KRIPTOGRAFI RC6 DAN STEGANOGRAFI LSB UNTUK PENGAMANAN PESAN TEKS Kai, Ferawati; Nuha, Agusyarif Rezka; Asriadi, Asriadi; Panigoro, Hasan S.; Yahya, Nisky Imansyah; Arsal, Armayani
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 2 (2025)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar

The rapid advancement of technology has led to various types of technological crimes. One solution to secure messages is by using cryptographic and steganographic techniques. This research combined the Rivest Code 6 (RC6) cryptographic algorithm and the Least Significant Bit (LSB) steganographic algorithm to enhance message security. The study analyzed changes in an image embedded with a message and sent through applications such a WhatsApp, Telegram, and E-mail. The final result show that the image embedded with the message does not undergo significant changes. However, stego images sent directly via WhatsApp and Telegram experience size alterations, which cause the embedded messages to become corrupted. Meanwhile, stego images sent as documents retain their size, allowing the message to remain intact. Additionally, stego images sent via E-mail, either as attachments or directly, do not experience size changes, and the embedded messages can be fully retrieved.

Dynamical Analysis of a Predator-Prey Model Involving Intraspecific Competition in Predator and Prey Protection Resmawan, Resmawan; Nuha, Agusyarif Rezka; Nasib, Salmun K.; Nashar, La Ode
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 3 (2024): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i3.22154

This article explains the interaction of the prey-predator model in the presence of wild harvesting and competition intra-specific predator populations and prey protection zones. Model construction is based on literature studies related to the basic theory of the model and the biological properties between predator and prey populations. This study aims to look at the dynamic conditions of the predator-prey model in the form of the existence of prey and predator populations and the impact that occurs in the long term for both populations due to changes in parameter values. The model analysis begins with the formulation of the solution conditions and boundaries model, and next with the determination of the equilibrium point. Every equilibrium point is analyzed by the characteristic of its stability is neither local or global. The model owns three equilibrium points, namely the equilibrium point of population extinction (E_0), the equilibrium point of predator extinction (E_1), and the equilibrium point of persistence of the two populations (E_2). These equilibrium points are stable locally or globally if certain conditions are met. Next, it is shown that bifurcation proceeds Which describes the changing of characteristic stability point equilibrium Which depends on the threshold parameter values h_1, Ω^*, and ρ^*. In the end, numerical simulations are presented in the form of phase, time-series, and bifurcation diagrams to support the analytical results of the model, as well as to visually show the dynamic behaviour of the interaction between the two populations based on changes in predation levels, illegal harvesting, prey refuge zones, and intra-specific competition.

Co-Authors Abdul, Nur Safitri Agung, Andi Aliwu, Randa Resvitasari Ana Nadiyyah Andi Agung Anggraini, Fitriana Anissa Dwi Wijayanti Armayani Arsal Asriadi Asriadi Asriadi Asriadi Aswata Wisnuadji Bertu Rianto Takaendengan Biga, Azril Saputra Chasanah, Sri Istiyarti Uswatun Dewi Rahmawaty Isa Djibran, Fahrudin Djihad Wungguli Djuma, Clara Anggriani Eko Sulistyono Sulistyono Fajri Ikhsan Franky Alfrits Oroh Ghivahri Sidik Mokoagow Hasan S. Panigoro Hasan, Riyanto Hendri, Excel Muhammad Hinelo, Ikrar Prasetyo Ibrahim, Novita Ismail Djakaria Isran K Hasan Janna, Miftahul K. Nasib, Salmun Kai, Ferawati La Ode Nashar Lailany Yahya Laita, Nazrilla Hasan Lindrawati Abdjul Mahmud, Sri Lestari Melasarah Deswita Rahmadi Miftahul Huda Moh Dody Afandi Rauf Mohamad, Regina Muhammad Ikhlas Muhammad Rifai Katili Nento, Abdul Djabar Nina Valentika NISKY IMANSYAH YAHYA Nisky Imansyah Yahya Novianita Achmad NUR ’AIN SUPU Nursiya Bito Nurwan Nurwan NURWAN NURWAN Nurwan Nurwan Nurwan, Nurwan Rahman, Gusti Arviana Rahmi, Emli Rasmawati Rasmawati Rasyid, Kamelia Rauf, Moh Dody Afandi Resmawan Resmawan Revandi S. Pakaya Rozikin, Muhammad Rusniwati S. Imran Salmun K. Nasib Salmun K. Nasib Saltina, Saltina Sari, Lia Nanda Sidik Susilo Sigar, Leidi Siti Nurmardia Abdussamad Sri Istiyarti Uswatun Chasanah Sri Istiyarti Uswatun Chasanah Sri Lestari Mahmud Sri Meylanti S. Ali Sugito Mahendra Imran Syarif Abdullah Taulia Damayanti Usfita Kiftiyani Usman, Nunung Usman, Sri Adiningsi B. Valentika, Nina Wafa, Moh. Shohibul Widyastutifajri Nuha Yazid Rukmayadi Zaqiyah, Arfatuz

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