STABILITY ANALYSIS AND OPTIMAL CONTROL OF AN INTRACELLULAR HIV INFECTION MODEL WITH ANTIRETROVIRAL TREATMENT

DOI10.1142/S021833902150008XzbMath1469.92068OpenAlexW3151591437MaRDI QIDQ5003139

S. Sawangthit, Ratchada Viriyapong

Publication date: 29 July 2021

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

Full work available at URL: https://doi.org/10.1142/s021833902150008x

zbMATH Keywords

optimal controlglobal stabilitybasic reproduction numberimmune responseHIV infection

Mathematics Subject Classification ID

Medical applications (general) (92C50) Existence theories for optimal control problems involving ordinary differential equations (49J15) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

• Unnamed Item
• Distinct effects of protease and reverse transcriptase inhibition in an immunological model of HIV-1 infection with impulsive drug effects
• Optimal control of a delayed HIV infection model with immune response using an efficient numerical method
• Stochastic model for in-host HIV dynamics with therapeutic intervention
• On Bendixson's criterion
• Uniform persistence and flows near a closed positively invariant set
• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
• Modelling optimal control of in-host HIV dynamics using different control strategies
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Optimal HIV treatment by maximising immune response
• A model of HIV-1 infection with HAART therapy and intracellular delays
• Optimal control and infectiology: Application to an HIV/AIDS model
• MODELING THE DRUG THERAPY FOR HIV INFECTION
• Uniformly Persistent Systems
• Drug concentration heterogeneity facilitates the evolution of drug resistance
• A Geometric Approach to Global-Stability Problems