Far Eastern Mathematical Journal

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A mathematical model of within-host COVID-19 dynamics


D.V. Alekseev, A. V. Galatenko, V.V. Galatenko, . A. Nersisyan, V.M. Staroverov

2022, issue 2, P. 150-151
DOI: https://doi.org/10.47910/FEMJ202215


Abstract
Systems of differential equations are a natural platform for modeling within-host infection dynamics. In particular, ODE-based models of COVID-19 are used for treatment optimization, determining appropriate length of isolation period or searching for infection source. Generally, the research in this area is based solely on numerical solutions. In our talk we present a number of analytical results that can be useful for model tuning and increasing application performance.

Keywords:
ODE, COVID-19 model, within-host infection dynamics

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References

[1] Hernandez-Vargas E. A., Velasco-Hernandez J. X., “In-host Mathematical Modelling of COVID-19 in Humans", Annual Reviews in Control, 50, (2020), 448-456.
[2] K. S. Kim et al, “A quantitative model used to compare within-host SARS-CoV-2, MERS-CoV, and SARS-CoV dynamics provides insights into the pathogenesis and treatment of SARS-CoV-2", PLoS Biology, 19:3, (2021), e3001128.
[3] H.Shuai et al, “Attenuated replication and pathogenicity of SARS-CoV-2 B.1.1.529 Omicron", Nature, 603:7902, (2022), 693-699.

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