Fractional order COVID 19 pandemic model in Morocco: Dynamical analysis and Numerical simulation

Abstract

In this paper, we introduce fractional order COVID-19 model in Morocco. We analyse the presented model by calculating reproductive ratio ,finding free disease equilibrium point and studying local and global stability of free disease equilibrium point to show the advantages of fractional order model ,we simulate model by using (PECE) method for fractional order and compare our results to clinical data which obtained from morocco cases from 18 march 2020 to 5 April 2020 . From presented figures, we can easily see that data from fractional order is better than data obtained by integer order model according to the comparison with clinical data Keywords COVID-19 fractional order model, Fractional Adams-type predictor-corrector method , boundedness of solution, local and global stability analysis, Numerical results.