Numerical analysis of the SEIR epidemic model with fractional order

نویسندگان

1 Department of Mathematics, University of Central Punjab, Lahore.

2 Department of Mathematics, University of Central Punjab, Lahore.

3 Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Campus, Van, Turkey.

doi
10.22034/cmde.2024.63428.2832
چکیده

This study explores an SEIR epidemic model, aiming to achieve rapid stabilization of infectious disease dynamics. The model’s dynamic behavior is analyzed with an emphasis on both local and global stability of equilibria using a Lyapunov function. The existence and uniqueness of the model are confirmed. The theoretical findings are validated, and the controller’s effectiveness is illustrated through numerical simulations conducted in MATLAB/Simulink.