Optimal control therapy and vaccination for a new coronavirus model
Rachid Bouajaji, Hassan Laarabi, Mostafa Rachik, Abdelhadi Abta, Youssef El Foutayeni
202120 citations
Abstract
The aim of this work is to study the optimal control strategy of a mathematical model of the COVID-19 transmission in the discrete case, and to investigate, in discrete time, optimal control strategie in which the controls are: quarantine and/or Vaccination and treatment. The studied population is divided into five compartments S I I_r I_u R. Our objective is to find the best strategy to reduce the number of I. So, the Pontryagin’s maximum principale, in discrete time, is used to characterize the optimal control. the numerical simulation is carried out using MATLAB. the obtaind results ...
Topics & Concepts
Optimal controlPontryagin's minimum principleVaccinationQuarantineDiscrete time and continuous timeTransmission (telecommunications)MATLABPopulationMathematical optimizationMathematicsCoronavirus disease 2019 (COVID-19)Computer scienceControl (management)Control theory (sociology)MedicineVirologyArtificial intelligenceStatisticsOperating systemInfectious disease (medical specialty)PathologyTelecommunicationsDiseaseEnvironmental healthSARS-CoV-2 and COVID-19 ResearchCOVID-19 epidemiological studiesMathematical and Theoretical Epidemiology and Ecology Models