cover
Contact Name
Hasan S Panigoro
Contact Email
hspanigoro@ung.ac.id
Phone
+6281356190818
Journal Mail Official
editorial.jjbm@ung.ac.id
Editorial Address
Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Gorontalo, Jl. Prof. Dr. Ing. B. J. Habibie, Moutong, Tilongkabila, Kabupaten Bone Bolango 96554, Gorontalo, Indonesia
Location
Kota gorontalo,
Gorontalo
INDONESIA
Jambura Journal of Biomathematics (JJBM)
ISSN : -     EISSN : 27230317     DOI : https://doi.org/10.37905/jjbm
The Jambura Journal of Biomathematics JJBM is a peer reviewed academic journal published by the Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo, Indonesia. The journal is established with the vision of becoming a leading scientific publication in Southeast Asia and serves as a platform for researchers, academicians, and practitioners to publish original research articles and review papers. JJBM focuses on explaining complex biological phenomena through mathematical approaches and acts as a bridge between theoretical mathematics and the life sciences. JJBM has a broad and interdisciplinary scope covering various research areas. The journal welcomes high quality submissions involving mathematical analysis, computational modeling, and statistical methods to generate biological insights. The main areas include population dynamics, evolutionary dynamics, epidemiology, infectious disease modeling, systems biology, ecological modeling, and optimal control in biological systems. Through this scope, JJBM aims to support innovation in both mathematics and biological applications. To ensure scientific quality and originality, every submitted manuscript undergoes a single blind peer review process by experts in the field. The journal applies a strict policy against plagiarism and uses tools such as Turnitin to ensure originality. All accepted manuscripts are required to be prepared using LaTeX to maintain consistency and quality in mathematical formatting. JJBM is published quarterly in March, June, September, and December. The journal follows an open access policy, allowing all published articles to be freely accessed by the public. This approach supports wider dissemination of knowledge and increases the visibility and impact of published research. JJBM is committed to publication ethics and accessibility. The journal follows the guidelines of the Committee on Publication Ethics COPE. To support inclusivity, JJBM provides waiver options for article processing charges for authors from low and lower middle income countries.
Articles 22 Documents
Mathematical Analysis Of The Two-Patch SIRS-SIW Model For The Dynamical Transmission Of Dengue Fever Involving Wolbachia Fitriana Saptaningtyas; Fugo Takasu; Hartono; Fithri Lathifah; Ikha Parwitasari
Jambura Journal of Biomathematics (JJBM) Vol. 7 No. 2: June 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v7i2.87

Abstract

A promising, biologically safe approach to controlling dengue hemorrhagic fever (DHF) is the release of Wolbachia-infected mosquitoes. The use of mathematical modelling to identify optimal control strategies has been the focus of numerous studies. However, the dynamics of human movement between areas where Wolbachia is applied and areas where it is not remain poorly understood. In this study, the spread of dengue fever is examined through a two-patch autonomous ordinary differential equation system encompassing two human population patches, along with Aedes aegypti mosquitoes and Wolbachia, to characterise the dynamics of dengue transmission between humans interacting from two separate patches, alongside the mosquito populations. The Wolbachia strategy has been implemented in portions of the DIY region. We use a two-patch framework to model this issue. We propose developing a mathematical model to investigate the relationship between mosquito bite rates and the proportion of Wolbachia mosquitoes, while accounting for temporary population movements between spatially distinct patches. We assume that the human population is divided into two distinct patches: one in an area where Wolbachia has been implemented and the other in an area where it has not, with a temporary visit between the patches. We compute the local and global stability criteria for the disease-free equilibrium and the basic reproduction number for each patch. In addition, we conducted a thorough analysis of the key parameters related to the proportion of Wolbachia mosquitoes that affect the stability of this equilibrium point. These parameters may serve as vital references to aid in eradicating dengue hemorrhagic fever (DHF) within each patch. Our findings demonstrate that increasing the number of Wolbachia strains significantly limits the spread of dengue in Yogyakarta. The spread of dengue fever can be suppressed by targeting at least 69.9\% of Wolbachia mosquitoes from the total mosquito population.
Modeling Tuberculosis Transmission and Control Using Game Theory and Optimal Strategies Incorporating Migration Flow Dynamics Md. Abu Salek; Mehmet Yavuz; Md. Humayun Kabir; Jannatun Nayeem; Muhammad Hossain; Md. Fayz-Al-Asad
Jambura Journal of Biomathematics (JJBM) Vol. 7 No. 2: June 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v7i2.88

Abstract

A Tuberculosis (TB) transmission model,which optimizes the control strategy with migration dynamics utilizing evolutionary game theory, has been introduced in this work. Besides, the population dynamics is categorized into susceptible, vaccinated, migratory, exposed, infectious, treated, and recovered individuals, while three dynamic controls,distancing, vaccination, and treatment,modulate the spread of disease. Each control measure is considered within the range of 0 to 1 for the governing parameters,namely, migration rate ($\lambda$), treatment rate ($\gamma$), recovery rate ($\delta$) and transmission rate ($\beta$).This study develops a migration-integrated tuberculosis transmission model incorporating susceptible, vaccinated, migratory, exposed, infectious, treated, and recovered populations. Three intervention strategies, namely distancing, vaccination, and treatment, are included to examine their effects on TB transmission. The basic reproduction number is derived, and the positivity and boundedness of the model are established. Numerical simulations are performed using an Adams–Bashforth–Moulton predictor–corrector method. A formal evolutionary game-theoretic framework is introduced through payoff functions and replicator dynamics to evaluate the behavioral preference among the control strategies. The results indicate that treatment produces the strongest reduction in infection prevalence when applied as a single control, while combined strategies provide stronger epidemic suppression when sufficient resources are available. Cost-effectiveness analysis is used to compare the economic efficiency of the intervention strategies. The findings highlight the importance of incorporating migration and behavioral responses into tuberculosis control planning.

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