Dynamical Properties of HIV/AIDS Model with Saturated Treatment

Lazarus Kalvein Beay, Venn Yan Ishak Ilwaru, Muhammad Fandi Ansori, Lusye Bakarbessy, Monce Dahoklory, Maryone Saija

Abstract


Mathematical models are crucial for developing control strategies,  understanding disease transmission dynamics, and solving real-world problems. In this study, it applied a novel approach to the HIV/AIDS model. The saturated treatment was essentially used to model HIV/AIDS. A significant analysis of the HIV/AIDS epidemic model was presented, incorporating the new parameter. The mathematical analysis conducted on the model involved the examination of its boundedness,  determination of its equilibria, calculation of the HIV/AIDS reproductive number, and assessment of the stability of these equilibria.  The verification of the convergence analysis confirmed the effectiveness of the proposed scheme. The numerical results and simulations of the HIV/AIDS model are shown.  Biologically, we have conducted investigations to determine the effect of several parameters on the dynamics of HIV/AIDS transmission.


Keywords


HIV/AIDS model; Non-negativity and boundedness; HIV/AIDS reproductive number; Saturated treatment; Stability

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DOI: https://doi.org/10.37905/jjbm.v6i4.34090

Copyright (c) 2025 Lazarus Kalvein Beay, Venn Yan Ishak Ilwaru, Muhammad Fandi Ansori, Lusye Bakarbessy, Monce Dahoklory, Maryone Saija

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