Optimal treatment in a multi-strain within-host model of HIV with age structure

Research output: Contribution to journalArticle

Abstract

A multi-strain within-host model of HIV with age structure, which explicitly incorporates the loss of free viral particles due to absorption into target cells upon infection, and shedding into the environment is formulated and analyzed. In our model, a time delay between viral entry into a target cell and viral replication is incorporated, and multiple virus strains compete for a population of target cells. Control is incorporated into the model via strain-specific reverse transcriptase and protease inhibitors. An optimal control problem subject to multiple drug treatments is formulated and analyzed. Existence, characterization and uniqueness of optimal control is established. Using the forward-backward sweep numerical method, numerical simulations are presented. Simulations suggest that a combination of reverse transcriptase and protease inhibitors for each strain of the infected cells and free viruses results in a delay in initial peak in the populations of infected cells and free viruses, the absence of relapse phase within the entire time horizon of control, and a decrease in the number of infected cells and free viruses.

Original languageEnglish (US)
Article number123410
JournalJournal of Mathematical Analysis and Applications
Volume480
Issue number2
DOIs
StatePublished - Dec 15 2019

Fingerprint

Age Structure
Viruses
Virus
Cell
Protease
Drug therapy
Inhibitor
Target
Reverse
Model
Numerical methods
Time delay
Sweep
Replication
Infection
Optimal Control Problem
Horizon
Time Delay
Drugs
Computer simulation

Keywords

  • Age-structured model
  • Multi-strain model
  • Optimal control
  • Within-host model

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Optimal treatment in a multi-strain within-host model of HIV with age structure. / Numfor, Eric.

In: Journal of Mathematical Analysis and Applications, Vol. 480, No. 2, 123410, 15.12.2019.

Research output: Contribution to journalArticle

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