مشخصات پژوهش

عنوان	Dynamical Behaviour of Fractional Order SEIR Mathematical Model for Infectious Disease Transmission
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Fractional calculus, Caputo derivatives, SEIR model, Lyapunov function, Stability
چکیده	This paper presents an extension of the SEIR mathematical model for infectious disease transmission to a fractional-order model. The model is formulated using the Caputo derivative of order α 2 (0, 1]. We study the stability of equilibrium points, including the disease-free equilibrium (Ef ), and the infected steady-state equilibrium (Ee) using the stability theorem of Fractional Differential Equations. The model is also analyzed under certain conditions, and it is shown that the disease-free equilibrium is locally asymptotically stable. Additionally, the extended Barbalat’s lemma is applied to the fractional-order system, and a suitable Lyapunov functional is constructed to demonstrate the global asymptotic stability of the infected steady-state equilibrium. To validate the theoretical results, a numerical simulation of the problem is conducted.
پژوهشگران	محمد شهریاری (نفر سوم)، لیدر نوایی (نفر دوم)، رضا اکبری (نفر اول)