University of Tabriz Computational Methods for Differential Equations 2345-3982 14 1 2026 11 01 Numerical analysis of the SEIR epidemic model with fractional order 392 410 19076 10.22034/cmde.2024.63428.2832 EN Zain Ul Abadin Zafar Department of Mathematics, University of Central Punjab, Lahore. Sadaf Ijaz Department of Mathematics, University of Central Punjab, Lahore. Cemil Tunc Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Campus, Van, Turkey. 0000-0003-2909-8753 Journal Article 2024 09 10 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. SEIR model Next generation method Existence and uniqueness Numerical simulations Theoretical results https://cmde.tabrizu.ac.ir/article_19076_80c7f2e6aa321bb6b2bb33f6634f04e7.pdf