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All Journal Jambura Journal of Biomathematics (JJBM)
Dahoklory, Monce
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Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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Dynamical Properties of HIV/AIDS Model with Saturated Treatment Beay, Lazarus Kalvein; Ilwaru, Venn Yan Ishak; Ansori, Muhammad Fandi; Bakarbessy, Lusye; Dahoklory, Monce; Saija, Maryone
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 4: December 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i4.34090

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.
Co-Authors Ansori, Muhammad Fandi Beay, Lazarus Kalvein Ilwaru, Venn Yan Ishak Lusye Bakarbessy Saija, Maryone