Research Communication | Open Access
Volume 2021 | Communication ID 255
Optimal control therapy and vaccination for a new coronavirus model
Rachid Bouajaji, Hassan Laarabi, Mostafa Rachik, Abdelhadi Abta, Youssef El foutayeni
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2021
February 15, 2021
March 15, 2021

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 ...