Research
Communication | Open Access
Volume 2022 | Communication ID 4907
Volume 2022 | Communication ID 4907
Optimal control problem for an age-structured model of COVID-19 transmission with fractional derivative |
Mohamed Elhia, Bouchaib Khajji, Abdelfattah Kouidere, Omar Balatif, Mostafa Rachik
Received |
Accepted |
Published |
May 14, 10:31 |
July 01, 2022 |
July 15, 2022 |
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 Sj , exposed Ej , infected with high risk Ihj , infected with low risk Ilj , hospitalized Hj , recovered with and without psychological complications R1j and R2j , respectively. In our model, we incorporate three ...