Analysis and simulation study of the HIV/AIDS model using the real cases.

Autor: Meetei MZ; Department of Mathematics, College of Science, Jazan University, Jazan, Kingdom of Saudi Arabia., DarAssi MH; Department of Basic Sciences, Princess Sumaya University for Technology, Amman, Jordan., Altaf Khan M; Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein, South Africa., Koam ANA; Department of Mathematics, College of Science, Jazan University, Jazan, Kingdom of Saudi Arabia., Alzahrani E; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia., Ali H Ahmadini A; Department of Mathematics, College of Science, Jazan University, Jazan, Kingdom of Saudi Arabia.
Jazyk: angličtina
Zdroj: PloS one [PLoS One] 2024 Jun 25; Vol. 19 (6), pp. e0304735. Date of Electronic Publication: 2024 Jun 25 (Print Publication: 2024).
DOI: 10.1371/journal.pone.0304735
Abstrakt: We construct a model to investigate HIV/AIDS dynamics in real cases and study its mathematical analysis. The study examines the qualitative outcomes and confirms the local and global asymptotic stability of both the endemic equilibrium and the disease-free equilibrium. The model's criteria for exhibiting both local and global asymptotically stable behavior are examined. We compute the endemic equilibria and obtain the existence of a unique positive endemic equilibrium. The data is fitted to the model using the idea of nonlinear least-squares fitting. Accurate parameter values are achieved by fitting the data to the model using a 95% confidence interval. The basic reproduction number is computed using parameters that have been fitted or estimated. Sensitivity analysis is performed to discover the influential parameters that impact the reproduction number and the eradication of the disease. The results show that implementing preventive measures can reduce HIV/AIDS cases.
Competing Interests: The authors have declared that no competing interests exist.
(Copyright: © 2024 Meetei et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.)
Databáze: MEDLINE
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