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Dynamical Properties of HIV/AIDS Model with Saturated Treatment

Jambura Journal of Biomathematics (JJBM) · Vol. ume (2025) · hlm. 398–407

DOI
10.37905/jjbm.v6i4.34090
ISSN
2723-0317
Terbit
2025-12-31
Penerbit
Department of Mathematics, Universitas Negeri Gorontalo
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

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.

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  • Universitas Pattimura
  • State University of Malang
  • State University of Gorontalo
  • Diponegoro University
  • Sekolah Tinggi Ilmu Kesehatan Pasapua Ambon
  • University of South Africa
  • Universitas Pembangunan Nasional Veteran Yogyakarta
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Tampilkan sebagai tabel
Rekan penulisOrganisasiArtikel bersama
Yopi Andry LesnussaUniversitas Pattimura8
Mozart Winston TalakuaUniversitas Pattimura3
Zeth Arthur LeleuryUniversitas Pattimura3
Dorteus L. RahakbauwUniversitas Pattimura3
Henry Junus WattimanelaUniversitas Pattimura2
Eunike M. SahetapyUniversitas Pattimura2
Berny Pebo TomasouwUniversitas Pattimura2
Vynska Amalia PermadiUniversitas Pembangunan Nasional Veteran Yogyakarta2
Olumuyiwa James PeterUniversity of Medical Sciences, Ondo2
Maria Engeline SahusilawaneUniversitas Pattimura2
Mayowa M. OjoUniversity of South Africa2
Sri Lestari RahayuState University of Malang1
Fauziatul FajarohState University of Malang1
Sumari SumariState University of Malang1
Meilin Imelda TilukayUniversitas Pattimura1
M. H. HahuryUniversitas Pattimura1
Tesa SumahUniversitas Pattimura1
Jeky TetimelayUniversitas Pattimura1
Mozart Winston TalakuaAfiliasi tidak diketahui1
Albertina RatuanakAfiliasi tidak diketahui1
Jesica TentuaUniversitas Pattimura1
Royke Yohanes WarellaUniversitas Pattimura1
Charlitta FhilyaUniversitas Pattimura1
Syella Z LimbaUniversitas Pattimura1
Emli RahmiState University of Gorontalo1
Hasan S. PanigoroState University of Gorontalo1
Dian SavitriUniversitas Negeri Surabaya1
Monalisa E. RijolyUniversitas Pattimura1
Abraham Z. WattimenaUniversitas Pattimura1

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Sumber metadata: OAI-PMH (metadata jurnal) http://ejurnal.ung.ac.id/index.php/JJBM/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.
Metadata asli (oai_dc)
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	<dc:title xml:lang="en-US">Dynamical Properties of HIV/AIDS Model with Saturated Treatment</dc:title>
	<dc:creator>Beay, Lazarus Kalvein</dc:creator>
	<dc:creator>Ilwaru, Venn Yan Ishak</dc:creator>
	<dc:creator>Ansori, Muhammad Fandi</dc:creator>
	<dc:creator>Bakarbessy, Lusye</dc:creator>
	<dc:creator>Dahoklory, Monce</dc:creator>
	<dc:creator>Saija, Maryone</dc:creator>
	<dc:subject xml:lang="en-US">HIV/AIDS model; Non-negativity and boundedness; HIV/AIDS reproductive number; Saturated treatment; Stability</dc:subject>
	<dc:description xml:lang="en-US">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.</dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Universitas Negeri Gorontalo</dc:publisher>
	<dc:contributor xml:lang="en-US">Fakultas Sains dan Teknologi, Universitas Pattimura</dc:contributor>
	<dc:date>2025-12-31</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/34090</dc:identifier>
	<dc:identifier>10.37905/jjbm.v6i4.34090</dc:identifier>
	<dc:source xml:lang="en-US">Jambura Journal of Biomathematics (JJBM); Volume 6, Issue 4: December 2025; 398–407</dc:source>
	<dc:source>2723-0317</dc:source>
	<dc:source>10.37905/jjbm.v6i4</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/34090/12489</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 Lazarus Kalvein Beay, Venn Yan Ishak Ilwaru, Muhammad Fandi Ansori, Lusye Bakarbessy, Monce Dahoklory, Maryone Saija</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nc/4.0</dc:rights>
</oai_dc:dc>