Numerical analysis of the SEIR epidemic model with fractional order

Zafar, Zain Ul Abadin; Ijaz, Sadaf; Tunc, Cemil

doi:10.22034/cmde.2024.63428.2832

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	Numerical analysis of the SEIR epidemic model with fractional order
Computational Methods for Differential Equations
مقاله 27، دوره 14، شماره 1، فروردین 2026، صفحه 392-410 اصل مقاله (856.53 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.63428.2832
نویسندگان
Zain Ul Abadin Zafar¹؛ Sadaf Ijaz¹؛ Cemil Tunc^* ²
¹Department of Mathematics, University of Central Punjab, Lahore.
²Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Campus, Van, Turkey.
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.
کلیدواژه‌ها
SEIR model؛ Next generation method؛ Existence and uniqueness؛ Numerical simulations؛ Theoretical results

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Numerical analysis of the SEIR epidemic model with fractional order