ArticlePloS one2024
Analysis and simulation study of the HIV/AIDS model using the real cases.
Article in PloS one, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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9 citing papers in PubMed.
- Incidence and risk factors of malaria with hematological and immunological evaluation and integrable analysis of a fractional mathematical model.Scientific reports · 2026Article
- HIV/AIDS compartmental model analysis with drug resistance treatment, vertical transmission, and optimal control theory.Scientific reports · 2025Article
- Epidemiological analysis of Lassa fever control using novel mathematical modeling and a dual-dosage vaccination approach.BMC research notes · 2025Article
- Mathematical analysis of scrub typhus seasonal infection with re-scaled transmission rate considering Northeast India reported data from 2010 to 2022.Scientific reports · 2025Article
- A fractal-fractional order modeling approach to understanding stem cell-chemotherapy combinations for cancer.Scientific reports · 2025Article
- Modelling epidemiological dynamics with pseudo-recovery via fractional-order derivative operator and optimal control measures.PloS one · 2025Article
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- Mathematical analysis of fractional Chlamydia pandemic model.Scientific reports · 2024Article
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6 authors.
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Abstract
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.
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