Fractional optimal control problem for an age-structured model of COVID-19 transmission |
Bouchaib Khajji, Abdelfatah Kouidere, Mohamed Elhia, Omar Balatif, Mostafa Rachik
Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
January 29, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: The aim of this study is to model the transmission of COVID-19 and investigate the impact of some control strategies on its spread. We propose an extension of the classical SEIR model, which takes into account the age structure and uses fractional-order derivatives to have a more realistic model. For each age group j the population is divided into seven classes namely susceptible S^j exposed E^j, infected with high risk I_h^j, infected with low risk I_l^j, hospitalized H^j, recovered with and without psychological complications R_1^j and R_2^j, respectively. In our model, we incorporate ...