Analysis of Atangana–Baleanu fractional-order SEAIR epidemic model with optimal control

Abstract

Abstract We consider a SEAIR epidemic model with Atangana–Baleanu fractional-order derivative. We approximate the solution of the model using the numerical scheme developed by Toufic and Atangana. The numerical simulation corresponding to several fractional orders shows that, as the fractional order reduces from 1, the spread of the endemic grows slower. Optimal control analysis and simulation show that the control strategy designed is operative in reducing the number of cases in different compartments. Moreover, simulating the optimal profile revealed that reducing the fractional-order from 1 leads to the need for quick starting of the application of the designed control strategy at the maximum possible level and maintaining it for the majority of the period of the pandemic.

Keywords

• SEAIR model
• Atangana–Baleanu fractional derivative
• Basic reproductive number
• Global stability
• Numerical simulation
• Optimal control analysis