Optimal strategy for controlling the spread of HIV/AIDS disease: a case study of South Africa

DOI10.1080/17513758.2011.628700zbMath1447.92498OpenAlexW2073431749WikidataQ45394180 ScholiaQ45394180MaRDI QIDQ3304474

Tunde T. Yusuf, Francis Benyah

Publication date: 3 August 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2011.628700

zbMATH Keywords

optimal controlPontryagin's maximum principlebasic reproduction numberoptimality systemdisease prevalenceantiretroviral treatmentdisease incidence

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence theories for optimal control problems involving partial differential equations (49J20) Medical epidemiology (92C60)

Related Items (18)

Stability analysis of a fractional order model for the HIV/AIDS epidemic in a patchy environment ⋮ Optimal control for HIV treatment ⋮ Traveling waves in a nonlocal dispersal SIRH model with relapse ⋮ Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic ⋮ Save the pine forests of wilt disease using a fractional optimal control strategy ⋮ Numerical approach to solve Caputo‐Fabrizio‐fractional model of corona pandemic with optimal control design and analysis ⋮ A new design and analysis of optimal control problems arising from COVID‐19 outbreak ⋮ Stability of an HIV/AIDS treatment model with different stages ⋮ Stability analysis of HIV/AIDS epidemic model with nonlinear incidence and treatment ⋮ Modelling optimal control of in-host HIV dynamics using different control strategies ⋮ Conflict and accord of optimal treatment strategies for HIV infection within and between hosts ⋮ ارائه یک مدل ریاضی و بررسی تاثیر استفاده از سرنگهای مشترک آلوده در شیوع بیماری اچ آی وی/ایدز ⋮ Modelling and stability of HIV/AIDS epidemic model with treatment ⋮ Optimal control of a fractional-order model for the HIV/AIDS epidemic ⋮ MODELING AND DYNAMICS OF HIV TRANSMISSION AMONG HIGH-RISK GROUPS IN GUANGZHOU CITY, CHINA ⋮ Efficient numerical method for a model arising in biological stoichiometry of tumour dynamics ⋮ Optimal control using linear feedback control and neutralizing antibodies for an HIV model with dynamical analysis ⋮ Dynamics of illicit drug use and banditry population with optimal control strategies and cost-effectiveness analysis

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