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Mathematical Modeling of HIV/AIDS Model with Theory and Applications: Fractional-Order Model of HIV/AIDS Spread: Theoretical Analysis and Public Health Control - Softcover
Synopsis
This study develops a fractional-order mathematical model to analyze HIV/AIDS transmission dynamics by extending a classical integer-order model. The fractional formulation incorporates memory effects using power-law behavior, providing a more realistic description of disease progression. The model is analyzed for existence, uniqueness, and stability of the endemic equilibrium using Lyapunov methods. Sensitivity analysis identifies key parameters influencing the basic reproduction number. The model is validated using real HIV data, and numerical simulations are performed using the fractional Adams–Bashforth–Moulton method. Results showed that improved treatment and safe behavioral practices significantly reduce HIV prevalence, while higher contact rates and poor treatment adherence increase infection levels. The study highlights the importance of control strategies and demonstrates the effectiveness of fractional-order modeling in capturing HIV dynamics.
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Mathematical Modeling of HIV/AIDS Model with Theory and Applications
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Mathematical Modeling of HIV/AIDS Model with Theory and Applications : Fractional-Order Model of HIV/AIDS Spread: Theoretical Analysis and Public Health Control
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This study develops a fractional-order mathematical model to analyze HIV/AIDS transmission dynamics by extending a classical integer-order model. The fractional formulation incorporates memory effects using power-law behavior, providing a more realistic description of disease progression. The model is analyzed for existence, uniqueness, and stability of the endemic equilibrium using Lyapunov methods. Sensitivity analysis identifies key parameters influencing the basic reproduction number. The model is validated using real HIV data, and numerical simulations are performed using the fractional Adams-Bashforth-Moulton method. Results showed that improved treatment and safe behavioral practices significantly reduce HIV prevalence, while higher contact rates and poor treatment adherence increase infection levels. The study highlights the importance of control strategies and demonstrates the effectiveness of fractional-order modeling in capturing HIV dynamics. Seller Inventory # 9786209969744
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Mathematical Modeling of HIV/AIDS Model with Theory and Applications
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 60 pp. Englisch. Seller Inventory # 9786209969744
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Mathematical Modeling of HIV/AIDS Model with Theory and Applications | Fractional-Order Model of HIV/AIDS Spread: Theoretical Analysis and Public Health Control
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Taschenbuch. Condition: Neu. Mathematical Modeling of HIV/AIDS Model with Theory and Applications | Fractional-Order Model of HIV/AIDS Spread: Theoretical Analysis and Public Health Control | Agbata Benedict Celestine | Taschenbuch | Englisch | 2026 | GlobeEdit | EAN 9786209969744 | Verantwortliche Person für die EU: SIA OmniScriptum Publishing, Brivibas Gatve 197, 1039 RIGA, LETTLAND, customerservice[at]vdm-vsg[dot]de | Anbieter: preigu. Seller Inventory # 135407756
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