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Communication in Biomathematical Sciences Vol. 8 Issue 2 2025

Vol. 8 No. 2 (2025)

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Articles Published in This Issue

Explore peer-reviewed research articles published in this issue.

researchpp. 132–164

A Nonlinear Delay Mathematical Model for Predicting Chlamydia Dynamics and Intervention Effects

Chlamydia is a widespread sexually transmitted infection in Europe, often leading to complications such as rectal discomfort, throat inflammation, and reactive arthritis. This study presents a novel nonlinear delay differential equation model that enhances the classical SEIAISR framework to more accurately represent Chlamydia transmission dynamics. The model integrates biologically justified exponential time delays to reflect incubation periods and the delayed impact of interventions like condom use, routine screening, partner reduction, and microbiome health. We establish the existence and…

Keywords
Chlamydia reproductive number Routh-Hurwitz global stability NSFD
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researchpp. 165–187

Mathematical Modelling of Carbon Dioxide Emissions in Agricultural Systems

This study formulates a dynamic mathematical model to investigate the interplay between human activities and CO2 emissions within the context of agriculture. The model incorporates a system of differential equations describing the interactions among human population growth (H1), human economic activities (H2), atmospheric CO2 concentration (H3), forest biomass density (H4), and vehicle population (H5). Key processes include the effects of deforestation, economic activities, and vehicle emissions on CO2 levels, as well as the mitigating role of forest biomass.The model parameters account for…

Keywords
CO2 emission boundedness stability delay hopf-bifurcation sensitivity
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researchpp. 188–201

Optimal Control Strategies for the Population Management of the Bali Starling: A Mathematical Modeling Approach

The Bali Starling (Leucopsar rothschildi), an endemic species of Bali, faces severe threats from habitat loss, poaching, and environmental changes, necessitating effective conservation strategies. This study presents a mathematical model to describe the population dynamics of the Bali Starling within the breeding center at USS Tegal Bunder, TNBB, integrating optimal control theory to improve conservation efforts. The model incorporates key biological factors such as growth, transfer, and habituation processes, and utilizes Pontryagin’s Maximum Principle to determine an optimal control…

Keywords
Population dynamic Bali Starling optimal control strategy endangered species populations math-ematical modeling
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researchpp. 202–223

A Fractional SIR Model for Hepatitis A Virus: Lyapunov Stability and Effects of Awareness and Vaccination

Although Hepatitis A Virus (HAV) causes non-chronic infection, it poses serious health threats, particularly among children and older individuals due to poor sanitation and weak immunity. To better capture the memory-dependent progression of HAV, a novel SIR-type epidemic model is developed using Caputo fractional derivatives. The model incorporates awareness campaigns and a precautionary vaccination strategy represented by a Holling type-II functional response. We analytically established positivity, boundedness, and both local and global stability of equilibrium points using Jacobian…

Keywords
Caputo derivatives Hepatitis A virus awareness vaccination lyapunov function estimation
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researchpp. 224–246

Novel Mathematical Model for Overweight, Obesity, and Their Impact on Diabetes and Hypertension

In this paper, we present a new mathematical model describing the dynamics of overweight and obesity and their impact on diabetes and hypertension. In constructing the model, we consider negative and positive interactions among individuals with normal weight, overweight, and obesity, as well as social factors influencing overweight and hypertension diagnoses. As a novel contribution to transmission dynamics, we interpret the basic reproduction number from two perspectives: negative and positive interactions. Focusing on parameters linked to social factors and their health impact, we present…

Keywords
Diabetes hypertension mathematical model obesity overweight social factors
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researchpp. 247–270

Modeling COVID-19 Dynamics with a Medical Treatment Strategy: A Case Study of Thailand

Since 2020, Thailand has been impacted by the COVID-19 pandemic, which continues to persist into 2025. In response, the country has implemented various disease control measures, including public health campaigns and vaccination programs. While these strategies are still in place, they are now applied with less intensity, allowing people to return to a more normal way of life. However, this relaxed approach can contribute to continued disease transmission. In this study, we shift focus from conventional control measures-such as vaccination, mask-wearing, and social distancing-to strategies…

Keywords
COVID-19 optimal control equilibrium analysis Thailand COVID-19
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researchpp. 298–298

Erratum: Assessing the Impact of Medical Treatment and Fumigation on the Superinfection of Malaria: A Study of Sensitivity Analysis

This erratum has been issued to correct an error in the Acknowledgement section of our previously published article (COMMUN. BIOMATH. SCI., VOL. 6, NO. 1, PP. 51-73, 2023). The research grant number was incorrectly stated due to a typographical mistake during manuscript preparation. The correct research grant number should read as indicated in this erratum. The authors apologize for this oversight and confirm that the correction does not affect the scientific content, results, or conclusions of the original article.

Keywords
Malaria superinfection host-vector basic and invasive reproduction number sensitivity analysis
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