Selected article for: "basic reproductive ratio and reproductive ratio"

Author: Grigorieva, Ellina; Khailov, Evgenii; Korobeinikov, Andrei
Title: Optimal quarantine strategies for COVID-19 control models
  • Cord-id: s2gidnce
  • Document date: 2020_4_22
  • ID: s2gidnce
    Snippet: Optimal control problems reflecting the finding of effective quarantine strategies are considered for two control SEIR~type models describing the spread of the COVID-19 virus in the human population. The properties of the corresponding optimal controls are established analytically by applying the Pontryagin maximum principle. The optimal solutions are obtained numerically using BOCOP 2.0.5 software. The behavior of the appropriate optimal solutions and their dependence on the basic reproductive
    Document: Optimal control problems reflecting the finding of effective quarantine strategies are considered for two control SEIR~type models describing the spread of the COVID-19 virus in the human population. The properties of the corresponding optimal controls are established analytically by applying the Pontryagin maximum principle. The optimal solutions are obtained numerically using BOCOP 2.0.5 software. The behavior of the appropriate optimal solutions and their dependence on the basic reproductive ratio and length of quarantine are discussed in detail. Necessary conclusions are made.

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