"Dynamical Behavior of Fractional-Order Rumor Model Based on the Activi" by Hegagi Mohamed Ali, Saad Zagloul Rida et al.

Progress in Fractional Differentiation & Applications

Article Title

Dynamical Behavior of Fractional-Order Rumor Model Based on the Activity of Spreaders

Authors

Hegagi Mohamed Ali, Department of Mathematics, Faculty of Science, Aswan University, Aswan 81528, EgyptFollow
Saad Zagloul Rida, Department of Mathematics, Faculty of Science, South Valley University, Qena, EgyptFollow
Ahmed Mohamed Yousef, Department of Mathematics, Faculty of Science, South Valley University, Qena, EgyptFollow
Asmaa Sabry Zaki, Department of Mathematics, Faculty of Science, Aswan University, Aswan 81528, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

According to the similarity between the infectious disease transmission and the rumor spreading, we introduce this manuscript. In this work, the dynamical behavior of the fractional-order rumor model (FOM) is investigated in details. Also, we determine all the equilibrium fixed points of model. Nevertheless, the stability at this equilibrium points is studied. The basic reproduction number of FOM is obtained. Some valuable and essential definitions about the Caputo fractional derivative are introduced. Various methods use to solve this model such as Generalized Mittag-Leffler Function method (GMLFM) is an approximate solution and Predictor-Corrector method (PCM) as a numerical solution. Numerical simulations are performed to confirm our analytical results and elucidates the effect of various parameters on the rumor spreading.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090308

Recommended Citation

Mohamed Ali, Hegagi; Zagloul Rida, Saad; Mohamed Yousef, Ahmed; and Sabry Zaki, Asmaa (2023) "Dynamical Behavior of Fractional-Order Rumor Model Based on the Activity of Spreaders," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 3, Article 8.
DOI: http://dx.doi.org/10.18576/pfda/090308
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss3/8

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