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International Journal of Zoology and Applied Biosciences Research Article
Dynamic modeling and stability assessment of HIV infection in T-cells via differential equations
Aiswarya R, Subha C, Swathi T, Monish Raj R and Nazreen B
Year : 2025 | Pages: 184-188
Received on: 19/09/2025
Revised on: 20/10/2025
Accepted on: 25/10/2025
Published on: 15/11/2025
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Aiswarya R, Subha C, Swathi T, Monish Raj R and Nazreen B( 2025).
Dynamic modeling and stability assessment of HIV infection in T-cells via differential equations
. International Journal of Zoology and Applied Biosciences, 10( 6), 184-188.
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Abstract
Mathematical modeling provides a powerful framework for understanding the complex dynamics of HIV infection within the human immune system. This review presents a dynamic modeling and stability assessment of HIV infection in CD4? T-cells using systems of nonlinear differential equations. The model incorporates key biological processes, including viral replication, infection rate, immune response, and natural cell death, to describe the interaction between healthy T-cells, infected T-cells, and free virus particles. Stability analysis is performed to determine the equilibrium points disease-free and endemic states and their corresponding threshold conditions based on the basic reproduction number (R?). Results indicate that when R? < 1, the infection-free equilibrium is stable, signifying viral clearance, whereas R? > 1 leads to instability and persistence of infection. Sensitivity analysis highlights the influence of parameters such as viral production rate, infection rate, and immune cell regeneration on system dynamics. This study emphasizes the significance of mathematical modeling in predicting disease progression, evaluating therapeutic interventions, and designing optimal control strategies against HIV infection.
Keywords
Airborne microplastics, Human health, Inhalation exposure, Environmental pollution, Toxicity.
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© The Author(s) 2025. This article is published by International Journal of Zoology and Applied Biosciences under the terms of the Creative Commons Attribution 4.0 International License (creativecommons.org), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
