The article proposes and analyzes a system of differential equations modeling the interaction of the SARS-CoV-2 virus and the epithelial cells of the human lungs. Optimal control strategies representing antiviral drug treatment effects of this model are explored here. The Pontryagin’s max-imum principle is used to clarify the optimal control strategies. The exis-tence of optimal control is proved and effective strategies are illustrated. Numerical simulations, efficiency analysis, and cost-effectiveness analysis reveal that time-dependent antiviral drug with other control mechanisms, would reduce the viral load and control the infection process at low cost.
Research Article
Effect of an antiviral drug control in host COVID-19 kinetics
https://doi.org/10.21203/rs.3.rs-70554/v1
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SARS-CoV-2
COVID-19
Antiviral drug
Optimal control theory
Pontryagins maximum principle
Efficiency analysis
Cost effectiveness analysis.
Competing interests: The authors declare no competing interests."
