Modeling intracellular delay in within-host HIV dynamics under conditioning of drugs of abuse

DOI10.1007/s11538-021-00908-1zbMath1467.92126OpenAlexW3165512976WikidataQ113900155 ScholiaQ113900155MaRDI QIDQ2035800

Michael Peter, Naveen K. Vaidya

Publication date: 25 June 2021

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-021-00908-1

zbMATH Keywords

stability analysisdelay differential equationsHIV infectionintracellular delaydrugs of abuse

Mathematics Subject Classification ID

Qualitative investigation and simulation of models involving functional-differential equations (34K60) Medical epidemiology (92C60)

Related Items (1)

Modeling the effects of drugs of abuse on within-host dynamics of two HIV species

Uses Software

• Matlab
• fmincon
• dde23

Cites Work

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• Global dynamics of an in-host viral model with intracellular delay
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay
• Stability analysis of an HIV/AIDS epidemic model with treatment
• Influence of delayed viral production on viral dynamics in HIV-1 infected patients
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A model for treatment strategy in the chemotherapy of AIDS
• A model of HIV-1 pathogenesis that includes an intracellular delay
• Dose finding in drug development.
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• Analysis of HIV models with two time delays
• Mathematical Analysis of Age‐Structured HIV‐1 Dynamics with Combination Antiretroviral Therapy

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