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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Jurnal Sains Dasar PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika AKSIOMA JURNAL ILMIAH MATEMATIKA DAN TERAPAN Indonesian Journal of Applied Statistics 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 Mandalika Mathematics and Educations Journal ESTIMASI: Journal of Statistics and Its Application Majalah Ilmiah Matematika dan Statistika (MIMS) Jambura Journal of Mathematics Education 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 Research Review: Jurnal Ilmiah Multidisiplin Pattimura International Journal of Mathematics (PIJMath) Jurnal Sintak Jurnal Multidisiplin Sahombu Jurnal Matematika Integratif Parameter: Jurnal Matematika, Statistika dan Terapannya Journal of Mathematics, Computation and Statistics (JMATHCOS) Bilangan: Jurnal Ilmiah Matematika, Kebumian dan Angkasa Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa Indonesian Journal of Computational and Applied Mathematics
Agusyarif Rezka Nuha
Universitas Negeri Gorontalo
Agriculture, Biological Sciences & Forestry Arts Humanities Astronomy 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 Environmental Science Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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Dinamika Populas Kepiting Bakau (Scylla serrata) dengan Mempertimbangkan Sifat Kanibalisme Randy Ferdiansyah; Ismail Djakaria; Agusyarif Rezka Nuha
Research Review: Jurnal Ilmiah Multidisiplin Vol. 4 No. 2 (2025): Research Review: Jurnal Ilmiah Multidisiplin (Agustus 2025 - Januari 2026)
Publisher : Transbahasa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54923/researchreview.v4i2.242

Abstract

This study examines the population dynamics of mud crabs (Scylla serrata) by incorporating the biological phenomenon of cannibalism into a mathematical model. The model considers the mud crab population as consisting of two age classes, namely juvenile mud crabs and adult mud crabs. The formulation produces two equilibrium points: the extinction equilibrium E0 = (0,0), which represents the disappearance of the entire population, and the coexistence equilibrium E∗ = (CJ∗,CA∗), which indicates the persistence of both juveniles and adults. Stability analysis shows that the extinction point E0 is asymptotically stable if  α < µ2/r - µ while the coexistence point E∗ remains stable when the intrinsic growth rate α lies within the interval α > α1 and α < α2. These results emphasize that the long-term survival of the population depends on critical biological parameters. Numerical simulations further support the analytical findings by demonstrating that the abundance of mud crabs is highly sensitive to variations in growth rate, competition intensity, and predation levels. In particular, an increase in cannibalistic behavior significantly alters the balance between juvenile and adult populations, potentially leading to population decline if not moderated. The findings of this study provide useful insights into the ecological dynamics of Scylla serrata, which is a species of high economic and ecological importance in mangrove ecosystems. Furthermore, the integration of mathematical modeling and numerical simulation offers a valuable framework for understanding complex interactions in aquatic populations and may serve as a reference for sustainable management strategies in mud crab fisheries.
Analisis Dinamik Model Penularan Kolera dengan Mempertimbangkan Risiko Individu dan Intervensi Karantina Feni Elliyin; Agusyarif Rezka Nuha; La Ode Nashar
Research Review: Jurnal Ilmiah Multidisiplin Vol. 5 No. 1 (2026): Research Review: Jurnal Ilmiah Multidisiplin (Februari 2026 - Juli 2026)
Publisher : Transbahasa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54923/researchreview.v5i1.325

Abstract

This study develops an SIQRB mathematical model to analyze the transmission dynamics of cholera by incorporating individual risk stratification and quarantine interventions. The model consists of six human compartments, including high- and low-risk susceptible individuals, infected individuals from each risk group, quarantined individuals, and recovered individuals, along with one environmental compartment representing the concentration of Vibrio cholerae. This framework allows a comprehensive analysis of the interaction between human populations and environmental factors in disease transmission. The stability analysis shows that the disease-free equilibrium is locally asymptotically stable when the basic reproduction number (R₀) is less than one (R₀ < 1), and becomes unstable when R₀ exceeds one (R₀ > 1), indicating the potential for endemic conditions. Sensitivity analysis identifies the most influential parameters affecting R₀, namely the immigration rate (Λ), the environmental transmission rate (βb), and the bacterial shedding rate (ξ). These parameters significantly contribute to the increase in disease transmission. Numerical simulations confirm the analytical findings, showing that higher values of these parameters lead to increased numbers of infected individuals and higher environmental bacterial concentrations. Conversely, environmental-based control strategies—such as mobility restrictions, improved sanitation, and water disinfection—are effective in reducing R₀ below one. Therefore, this study highlights the critical importance of environmental interventions in controlling cholera transmission and preventing long-term endemicity.
Co-Authors Abdul, Nur Safitri Abubakar, Agung Sucipto Agung, Andi Aliwu, Randa Resvitasari Andi Agung Andi Agung Anggraini, Fitriana Anissa Dwi Wijayanti Aprina Manggarai Armayani Arsal Asriadi Asriadi Asriadi Asriadi Aswata Wisnuadji Ayyasy, Muhammad Yahya Bela Cintiya Samwan 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 Feni Elliyin Franky Alfrits Oroh Ghivahri Sidik Mokoagow Hasan S. Panigoro Hasan, Riyanto Hendri, Excel Muhammad Hinelo, Ikrar Prasetyo Husuna, Cabelita Ibrahim, Novita Ipal Rahmat Jaya Ismail Djakaria Isran K Hasan Janna, Miftahul K. Nasib, Salmun Kai, Ferawati Kasim, Ranan Kundju, Adib Rizal La Ode Nashar Lailany Yahya Lailany Yahya Laita, Nazrilla Hasan Lasantu, Patra Lindrawati Abdjul Mahmud, Sri Lestari Melasarah Deswita Rahmadi Miftahul Huda Moh Dody Afandi Rauf Mohamad, Regina Muhammad Ikhlas Muhammad Rifai Katili Nadiyyah, Ana Nalole, Mohammad Dwitiar Nento, Abdul Djabar Nina Valentika NISKY IMANSYAH YAHYA Novianita Achmad Nur Siyam Djibu NUR ’AIN SUPU Nursiya Bito NURWAN NURWAN Nurwan Nurwan Nurwan Nurwan Nurwan, Nurwan Pakaya, Revandi S. Rahman, Gusti Arviana Rahmi, Emli Randy Ferdiansyah Rasmawati Rasmawati Rasyid, Kamelia Rauf, Moh Dody Afandi Resmawan Resmawan Rozikin, Muhammad Rusniwati S. Imran 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 Suci Tilome Sugito Mahendra Imran Syafrudin, Marisa Syarif Abdullah Taulia Damayanti Usfita Kiftiyani Usman, Nunung Usman, Sri Adiningsi B. Valentika, Nina Wafa, Moh. Shohibul Widyastutifajri Nuha Yazid Rukmayadi Zaqiyah, Arfatuz