cover
Article Per Year (5 Year)
All
Home Page
OAI Link
Editorial Team
Contact
Reviewer
Google Scholar
Contact Name
-
Contact Email
-
Phone
-
Journal Mail Official
cbms@lppm.itb.ac.id
Editorial Address
Center for Mathematical Modeling & Simulation, Institut Teknologi Bandung, Jalan Ganesa No. 10 Bandung 40132, Indonesia
Location
Unknown,
Unknown
INDONESIA
Communication in Biomathematical Sciences
Published by Indonesian Biomathematical Society
ISSN : -     EISSN : 25492896     DOI : 10.5614/cbms
Core Subject : Social,
Social Sciences
Full research articles in the area of Applications of Mathematics in biological processes and phenomena
Arjuna Subject : Matematika - Matematika Terapan
Articles 7 Documents
 1 
Search results for , issue "vol. 9 no. 1 (2026)" : 7 Documents clear
Analyzing Mask-Wearing Decisions Using Game Theory and the SIR Model with a Replicator Equation in Post-Pandemic Situations Nasution, Yuki Novia; Rizqo, Muhammad Abyan; Nuraini, Nuning; Apri, Mochamad; Susanto, Hadi
Communication in Biomathematical Sciences Vol. 9 No. 1 (2026)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2026.9.1.1

Abstract

During the COVID-19 pandemic, many countries implemented policies on using masks to control the outbreak. This policy has been relaxed in almost all countries, after which. Respiratory disease outbreaks re-emerged in several countries, including Indonesia. This article presents a game-theoretic model of mask use by the community during the spread of the disease. Both the effectiveness of masks in preventing the spread of the disease and the proportion of the infected population are included in the payoff calculation. The model is combined a with the Susceptible-Infectious-Recovered (SIR) epidemic model with the replicator equation. The model is also evaluated under Nash equilibrium conditions. Simulations are carried out to effect of mask-wearing behavior on the incidence of acute respiratory infection in Jakarta. The results show that an individual's decision to use a mask is directly proportional to mask users. To reduce the number of infections, more than 10% of the population need to wear masks when the disease first appears. In the Nash equilibrium, we obtain a threshold value of the infected population at which the players decide not to use the mask. The results suggest that when respiratory infectious diseases emerge, governments must implement a stringent mask policy to control their spread and reduce infections.
Persistence and Extinction Dynamics in a Stochastic Predator-Prey Model with Emergent Allee Effects Carlos Granados; Leon A. Valencia
Communication in Biomathematical Sciences Vol. 9 No. 1 (2026)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2026.9.1.3

Abstract

The Allee effect describes a decline in population fitness at low densities, potentially leading to extinction. In predator-prey systems, an emergent Allee effect can arise due to interactions such as density-dependent maturation rates and predation constraints. This work studies a stochastic predator-prey model where the prey population is structured into juvenile and adult stages, with maturation following a nonlinear function. We introduce It.-type stochastic perturbations in mortality rates to account for environmental variability. We first establish the positivity of solutions and derive sufficient conditions for the stability of the trivial equilibrium, prey extinction, and conditional predator extinction. We then analyze prey persistence under specific maturation rate functions. Finally, numerical simulations illustrate the theoretical results and their ecological implications.
Dynamical Analysis of Mpox Transmission Model Incorporating Asymptomatic Individuals Tuhfatul Janan; Fatmawati; Agus Hasan
Communication in Biomathematical Sciences Vol. 9 No. 1 (2026)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2026.9.1.4

Abstract

In this paper, we develop a mathematical model for the transmission dynamics of monkeypox (Mpox) involving both human and rodent populations, with the human population including asymptomatic individuals. The analysis begins by establishing the well-posedness of the model using the contraction mapping principle, ensuring the existence, uniqueness, and stability of the solution. The model is further examined for the boundedness and non-negativity of the solutions. Three equilibrium points are identified: the disease-free equilibrium, the human-endemic equilibrium, and the endemic equilibrium. The disease-free equilibrium is shown to be both locally and globally asymptotically stable when the basic reproduction number is less than one. If they exist, the human-endemic equilibrium is proven to be globally asymptotically stable when the basic reproduction number of the rodent population is less than one, and the endemic equilibrium is always globally asymptotically stable. The sensitivity analysis indicates that vaccination and contact dynamics are the most influential factors in human transmission, while rodent transmission is primarily shaped by contact rates and mortality-related factors. Numerical simulations are provided to illustrate and validate the analytical results.
A Mathematical Model for Competition Between Local and Invasive Fish in Lake Poso, Indonesia Tokonyai Tawanda Jonathan Rabvemhiri; Hajar; Juni Wijayanti Puspita; Dipo Aldila
Communication in Biomathematical Sciences Vol. 9 No. 1 (2026)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2026.9.1.6

Abstract

The introduction of Nile Tilapia into Lake Poso has created both ecological and economic challenges, particularly in its interaction with the endemic species Oryzias nigrimas. To understand the potential longterm impacts of this competition and the community’s economic use of Nile Tilapia, we introduced a novel mathematical model describing their population dynamics. The model is formulated as a four-dimension ordinary differential equations and analyzed for the positivity of solutions, existence and local stability of equilibrium points, and the influence of harvesting strategies. Numerical simulations, including bifurcation and time-series analyses, are conducted to assess the effects of constant and periodic harvesting of Nile Tilapia. The findings suggest that periodic harvesting can play a significant role in maintaining population balance and mitigating the ecological pressure on Oryzias nigrimas, offering insights for sustainable management of invasive fish in Lake Poso.
Dynamic Behavior of Caputo Fractional-Order Model of Forest Biomass, Human Population, and Atmospheric Carbon Dioxide Moh. Nurul Huda; Agus Suryanto; Isnani Darti; Muhammad Fakhruddin
Communication in Biomathematical Sciences Vol. 9 No. 1 (2026)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2026.9.1.2

Abstract

This study aims to analyze the dynamical model of CO2 concentration, human population, and forest biomass. Human activities and land-use changes in forested areas play an important role as the primary contributors to the increase in CO2 emissions, which drive global warming. The inclusion of fractionalorder derivatives is considered to examine the long-term memory effects on the interactions within the CO2 concentration model. Theoretical results such as the existence, uniqueness, positivity, and boundedness of solutions, the local and global stability behavior of equilibrium points, and the existence of a Hopf bifurcation are explored. Furthermore, key parameters, including the deforestation rate and memory order, are investigated to determine their influence on the solution behavior of the CO2 concentration model. A fractionalorder numerical scheme is employed to illustrate various scenarios, validating the theoretical findings. The results show that fractional-order changes affect the dynamic behavior of the model. In addition, increased deforestation rates can increase CO2 concentrations and reduce human population in the long term.
Optimizing Weekly-Period Cyclical Lockdown Policies: A Simulation Study Using the A-SIR Model Arief Anbiya; Benny Yong
Communication in Biomathematical Sciences Vol. 9 No. 1 (2026)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2026.9.1.7

Abstract

This paper presents numerical simulations of COVID-19 cyclical lockdown scenario in which there is an alternating short phase between working days and lockdown days with weekly period. We use an adaptive SIR model with daily varying infection and recovery rates. The model is fitted with United States COVID-19 data. The rates for the model-fitting are obtained using the Method of Variational Imbedding (MVI) and fixed-point iteration that depend on actual COVID-19 data. Subsequently, we use the adaptive model to simulate cyclical lockdown of W working days (normal state) and L lockdown days with weekly cycle W +L = 7. To model the cyclical lockdown scenario, we multiply the infection rate by a piecewise continuous damping function that has value either 1 (when no lockdown is implemented) or 0.175 (when short lockdown is implemented). The numerical simulation shows that allowing up to 5 working days per week can flatten the curve of active cases. We also compare the model for cyclical lockdown scenario against the model for prolonged and continuous lockdown scenario: the simulation of prolonged continuous lockdown without allowing a short period of normal state result in smaller final epidemic size. However, as the number of lockdown L gets higher, the cyclical lockdown seems to converge to the prolonged continuous lockdown. Our result shows that using cyclical lockdown with L = 4 lockdown days per week for 177 weeks, which means 708 days of lockdown, gives total incidence (final epidemic size) of 4.311% (as a percentage of initial susceptible population S(0)), while using prolonged continuous lockdown for 708 consecutive days results in total incidence of 3.111%. Although the latter has smaller total incidence, the difference is not significant, which suggests that we can trade it for social and economic advantages that cyclical lockdown offers.
Sensitivity Analysis and Optimal Control for Nipah Virus Outbreak Binti Mualifatul Rosydah; Marsudi; Wuryansari Muharini Kusumawinahyu; Nur Shofianah
Communication in Biomathematical Sciences Vol. 9 No. 1 (2026)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2026.9.1.5

Abstract

Nipah virus (NiV) is a zoonotic pathogen capable of causing outbreaks with high mortality rates, ranging from 40% to 75%. The virus spreads through direct contact between humans and infected animals, consumption of contaminated food, and human-to-human transmission. As no vaccine or specific treatment is currently available, effective control measures must rely on public health policies. In this study, we develop a mathematical model to examine the transmission dynamics of the Nipah virus. We calculate the basic reproduction number R0 as an indicator of disease spread, perform a sensitivity analysis of key model parameters, and evaluate the effectiveness of three control strategies: health campaigns targeting exposed individuals, quarantine of infected individuals, and treatment to increase the recovery rate. The objective is to minimize both the number of exposed and infected individuals and the overall cost of implementing these controls. The model used is a compartmental framework dividing the human population into five subgroups: susceptible (S), exposed (E), infected (I), recovered (R), and deceased (D). To identify the optimal intervention strategy, we apply the Pontryagin Maximum Principle (PMP), and the resulting optimality system is solved numerically using the Forward–Backward Sweep method. The results show that the effective contact rate, incubation period, and treatment rate are the most influential parameters in determining disease transmission. Sensitivity analysis indicates that reducing R0 is most effectively achieved by improving the efficiency of health campaigns and treatment. Numerical simulations further demonstrate that the optimal combination of all three control strategies significantly reduces both exposed and infected populations compared with implementing any single strategy alone. With an optimally designed set of interventions, the resulting policy achieves a balance between controlling viral spread and ensuring cost efficiency.

Page 1 of 1 | Total Record : 7

 1 

Filter by Year

2026 2026


Reset
Filter By Issues
All Issue Vol. 9 No. 1 (2026) Vol. 8 No. 2 (2025) Vol. 8 No. 1 (2025) Vol. 7 No. 2 (2024) Vol. 7 No. 1 (2024) Vol. 6 No. 2 (2023) Vol. 6 No. 1 (2023) Vol. 5 No. 2 (2022) Vol. 5 No. 1 (2022) Vol. 4 No. 2 (2021) Vol. 4 No. 1 (2021) Vol. 3 No. 2 (2020) Vol. 3 No. 1 (2020) Vol 3, No 1 (2020) Vol 2, No 2 (2019) Vol. 2 No. 2 (2019) Vol 2, No 1 (2019) Vol. 2 No. 1 (2019) Vol. 1 No. 2 (2018) Vol 1, No 2 (2018) Vol 1, No 1 (2017) Vol. 1 No. 1 (2017) More Issue