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Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Gorontalo Jl. Prof. Dr. Ing. B. J. Habibie, Moutong, Tilongkabila, Kabupaten Bone Bolango 96119, Gorontalo, Indonesia
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Jambura Journal of Biomathematics (JJBM)
Published by Universitas Negeri Gorontalo
ISSN : -     EISSN : 27230317     DOI : https://doi.org/10.34312/jjbm.v1i1
Core Subject : Science, Education,
Computer Science & IT Decision Sciences, Operations Research & Management Mathematics
Jambura Journal of Biomathematics (JJBM) aims to become the leading journal in Southeast Asia in presenting original research articles and review papers about a mathematical approach to explain biological phenomena. JJBM will accept high-quality article utilizing mathematical analysis to gain biological understanding in the fields of, but not restricted to Ecology Oncology Neurobiology Cell biology Biostatistics Bioinformatics Bio-engineering Infectious diseases Renewable biological resource Genetics and population genetics
Arjuna Subject : Matematika - Matematika Terapan
Articles 7 Documents
 1 
Search results for , issue "Volume 6, Issue 2: June 2025" : 7 Documents clear
Modeling the Impact of Toxicants on a Plankton-Fish System with Gompertz Growth Function Annavarapu, Raveendra Babu; Makwana, Kavita; Jadon, Bhanu Pratap Singh
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 2: June 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i2.30824

Abstract

This study develops a mathematical model to investigate the dynamics of an aquatic ecosystem, incorporating key ecological features such as Gompertz growth, prey refuge, Holling Type II predation, and the Beddington-DeAngelis functional response. The primary objective is to analyze the effects of toxicant accumulation and population interactions on ecosystem stability. Analytical techniques, including the Jacobian matrix, Routh-Hurwitz criteria, and Lyapunov functions—are employed to examine equilibrium points, stability conditions, and bifurcation behavior. A Hopf bifurcation is observed when the carrying capacity  exceeds a critical threshold, indicating a transition from stable to oscillatory behavior. Intraspecific competition among fish is found to dampen chaotic dynamics, thereby enhancing system stability. Numerical simulations confirm the theoretical findings and highlight that increased toxicant levels disrupt energy flow through the food chain, causing population decline. These results underscore the importance of ecological regulation in preserving ecosystem balance and mitigating the impact of environmental stressors.
A Non-linear Fractional Model for Analyzing the Impact of Vaccination on the Dynamics of COVID-19 in Indonesia Akanni, John Olajide; Abidemi, Afeez; Fatmawati, Fatmawati; Chukwu, Chidozie Williams
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 2: June 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i2.30383

Abstract

COVID-19, yang disebabkan oleh virus corona baru SARS-CoV-2, masih menjadi tantangan kesehatan masyarakat global. Studi ini mengusulkan dan menganalisis model matematika untuk memantau perkembangan COVID-19 dan menilai dampak upaya imunisasi. Model tersebut menggabungkan faktor-faktor epidemiologi utama dan dikalibrasi menggunakan data yang tersedia untuk umum tentang kasus harian kumulatif COVID-19 di Indonesia, yang berlangsung dari 1 Juli 2021 hingga 21 Juli 2022. Angka reproduksi dasar, , diturunkan dan keadaan ekuilibrium ditetapkan. Analisis bifurkasi dilakukan menggunakan Teorema Manifold Pusat untuk memahami potensi dinamika transisi penyakit. Analisis sensitivitas lokal mengungkapkan bahwa tingkat penularan efektif (), tingkat kematian alami (), tingkat vaksinasi () dan tingkat pengobatan untuk individu bergejala () adalah parameter yang paling berpengaruh. Simulasi model menunjukkan bahwa mengurangi penularan, meningkatkan pengobatan, dan meningkatkan penyerapan vaksin secara signifikan mengurangi beban penyakit. Untuk lebih menangkap efek memori yang melekat dalam penularan penyakit, model diperluas ke kerangka turunan Caputo orde fraksional. Keberadaan, keunikan, dan stabilitas model fraksional ditetapkan melalui teori titik tetap. Hasil numerik menunjukkan bahwa penurunan dalam orde fraksional sedikit menggeser dinamika, yang menunjukkan perubahan perilaku dalam menanggapi wabah sebelumnya. Temuan ini memberikan informasi berharga tentang strategi pengendalian penyakit dan menyoroti pentingnya langkah-langkah kesehatan masyarakat yang berkelanjutan.
Mathematical Modeling, Optimal Control and Cost-Effectiveness Analysis of Diphtheria Transmission Dynamics Afolabi, Ayodeji Sunday; Miswanto, Miswanto
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 2: June 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i2.30851

Abstract

Diphtheria remains a serious public health concern in regions with low vaccination coverage and limited access to timely treatment, highlighting the urgent need for effective modeling and control strategies to guide intervention efforts. A nonlinear mathematical model is developed to describe the transmission dynamics of diphtheria. The well-posedness of the model is analyzed by investigating the positivity and boundedness of its solutions. The solutions of the disease-free equilibrium points are obtained analytically. The basic reproduction number () is determined using Diekmann-Heesterbeek-Metz Next Generation Matrix approach. The stability of the disease-free and endemic equilibrium points are rigorously analyzed. Sensitivity analysis of the model parameters with respect to  is conducted to assess the relative impact of each parameter on the transmission dynamics of the disease. Based on the results of the sensitivity analysis, the proposed diphtheria model is extended into an optimal control problem by introducing four time-dependent control variables: personal protection, booster vaccine administration, detection/treatment of the asymptomatic infected humans and reduction of bacteria concentration. Four different scenarios with each involving at least three of the control variables are examined. We evaluated the cost-effectiveness of each control strategy using IAR, ACER and ICER methods in order to identify the most economically efficient strategy. The findings demonstrate that Strategy A is the most cost-effective startegy that can significantly reduce diphtheria transmission throught optimal personal protection, detection/treatment of the asymptomatic infected humans and reduction of bacteria concentration.
Cost-effectiveness with Optimal Strategies for Enhancing Population Birth Rate Trends in Japan Kundu, Pulak; Mallick, Uzzwal Kumar
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 2: June 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i2.30983

Abstract

Japan faces one of the major challenges as its declining birth rate and aging population threaten long-term demographic and economic stability. To address this challenge,  a mathematical model with optimal control has been formulated, employing awareness programs and incentives to maximize population growth at minimal policy costs. Along with analyzing the model’s positivity, boundedness, existence of a unique solution, and stability at equilibrium points, the optimal control was characterized using Pontryagin’s Maximum Principle. Using the forward-backward sweep method, the numerical simulation demonstrated that the objective is maximized by applying awareness programs and incentives at full capacity until 2042 and 2046, respectively, before gradually reducing them. Then, a cost-effectiveness analysis was conducted to determine the most efficient approach, revealing that awareness programs are more cost-effective than the alternative strategy. Therefore, the findings of this study provide valuable guidance for policymakers to develop practical, cost-effective strategies that address Japan’s demographic challenges and promote sustainable population growth for society.
Identifying the Fetal Heart Rate and gender with Intuitionistic Fuzzy Total edge Magic Labelling Aruchamy, Pradeepa; Mahagaonkar, Pralahad; Ganesan, Gomathi; Dhandapani, Prasantha Bharathi; Yahya, Nisky Imansyah
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 2: June 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i2.30951

Abstract

The application of Intuitionistic fuzzy total edge magic labelling to a graphical image at the 20th week of gestation provides insights into facilitates gender prediction as well as assessment of fetal blood flow on a second-trimester Doppler ultrasound screen. Ultrasounds screen the fetal heart rate during the 20th week of gestation using Doppler ultrasound for blood flow. A fetal heart rate above 2.5 beats per second suggests a female baby, while a rate less than 2.5 beats per second indicates a male baby. We convert the fetal heart blood flow into a graphical image and label it using intuitionistic fuzzy total edge magic labelling.
Analysis of Five-Year Malaria Prevalence at the Federal Teaching Hospital, Ido-Ekiti, Nigeria Mmaduakor, Chika; Ngwu, Benitho; Ojo-Lawal, Sherifat; Oluwafemi, Glory; Peter, Olumuyiwa James; Raso, Mario
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 2: June 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i2.30958

Abstract

Malaria remains a major public health problem globally, with Nigeria accounting for approximately 27% of the global burden. Chronological analysis of malaria data is vital for evaluating the performance of malaria prevention programmes in Nigeria. Therefore, the objective of this study is to determine the malaria prevalence rate at the Federal Teaching Hospital, Ido-Ekiti (FETHI), over a five-year period. Data from 484 suspected malaria patients who visited the hospital between 2019 and 2023 were collected and analysed. Logistic regression was used to evaluate the relationship between positive blood film results and potential associated factors. Among all presumptive cases, 307 (63.4%) were female. The annual malaria prevalence ranged from 30.4% to 54.2%, with an overall prevalence of 42.32% (95% CI: 34.3%–54.4%). Two Plasmodium species were detected: Plasmodium falciparum (98 cases, 47.3%) and Plasmodium vivax (83 cases, 40.1%). A higher proportion of cases were recorded in December, January, and May (50%, 51.2%, and 51.4%, respectively). Patients who visited the hospital in January were twice as likely to be infected compared to those in April [OR: 2.29; 95% CI: 0.88–6.18; p = 0.037]. Males were half as likely to be infected as females [OR: 0.47; 95% CI: 0.30–0.72; p = 0.00066]. Malaria remains a significant concern in the studied location. Therefore, malaria control programmes need to be strengthened to reduce its impact.
Coastal Ecosystem Classification Using Satellite-Based Machine Learning Approaches Jane, Giani Jovita; Alifatri, La Ode; Tasriah, Etjih; Pramana, Setia
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 2: June 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i2.30466

Abstract

Sebagai negara kepulauan yang kaya akan sumber daya alam, Indonesia memiliki potensi ekonomi kelautan yang besar. Untuk mempertahankan potensi ekonomi ini dalam jangka panjang, ekonomi biru diperlukan sebagai konsep dalam menetapkan program pembangunan dan kebijakan publik. Salah satu cara untuk mengimplementasikan konsep tersebut adalah dengan menyusun neraca laut, yang kerangka kerjanya mengimplementasikan konsep ekonomi biru dalam bentuk neraca lingkungan. Neraca laut dapat dianggap mendukung pembentukan kebijakan dan program nasional suatu negara. Oleh karena itu, data spasial yang akurat yang mencerminkan kondisi terkini sangat penting untuk menyusun neraca ini. Namun, pengumpulan data tersebut dapat memakan biaya dan sumber daya yang besar, sehingga menjadi tantangan untuk memastikan ketersediaan informasi yang terkini dan akurat. Dalam konteks ini, sumber data alternatif dapat memberikan solusi yang layak. Penelitian sebelumnya telah berhasil membuktikan bahwa pemodelan pembelajaran mesin juga citra satelit Sentinel-1 dan Sentinel-2 mampu memetakan wilayah pesisir, seperti wilayah pasang surut dan bentik. Oleh karena itu, penelitian ini mencoba mengklasifikasikan ekosistem pesisir Taman Nasional Karimunjawa dengan memanfaatkan citra Sentinel-1 dan Sentinel-2 dan membandingkan hasil klasifikasi dari tiga metode pembelajaran mesin, yaitu Random Forest (RF), Support Vector Classification (SVC), dan Extreme Gradient Boosting (XGBoost), dan menganalisis perubahan ekosistem antara tahun 2020 dan 2023. Hasilnya menunjukkan bahwa RF memberikan hasil terbaik dalam melakukan klasifikasi untuk daerah bentik yang mencapai 0,77 dan 0,78 dalam skor F1 dan Koefisien Korelasi Matthew (MCC), sedangkan model SVC berhasil mencapai 0,83 dalam skor F1 dan MCC memberikan hasil terbaik untuk daerah pasang surut. Selanjutnya, luas terumbu karang dan padang lamun menurun masing-masing sebesar 6,524 km 2 dan 1,39 km 2 . Sedangkan, luas mangrove, kawasan terbangun, dan hutan menunjukkan sedikit perubahan.

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