Geodesic
SIRV-D optimal control model for COVID-19 propagation scenarios
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 1, pp. 87-97

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The article presents the compartmental differential formulation of SIR-type for modeling the dynamics of the incidence of viral infections, in particular COVID-19, taking into account the ongoing vaccination campaign and the possibility of losing immunity during some time period after vaccination or a disease. The proposed model is extended by considering the coefficients of the model as dependent on the social loyalty of the population to isolation and vaccination. This allows us to formulate the optimal control problem and build various scenarios for the development of the epidemiological situation. The results obtained on the basis of the considered models were compared with real statistical data on the incidence in the Krasnoyarsk Territory.
Keywords: scenarios of COVID-19 propagation, SIR-type model, optimal control model. 
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     author = {Viktoriya S. Petrakova and Vladimir V. Shaidurov},
     title = {SIRV-D optimal control model for {COVID-19} propagation scenarios},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     publisher = {mathdoc},
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     number = {1},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a8/}
}
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Viktoriya S. Petrakova; Vladimir V. Shaidurov. SIRV-D optimal control model for COVID-19 propagation scenarios. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 1, pp. 87-97. http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a8/