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Dynamical Behavior of Fractional-Order Rumor Model Based on the Activity of Spreaders |
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PP: 427-441 |
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doi:10.18576/pfda/090308
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Author(s) |
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Hegagi Mohamed Ali,
Saad Zagloul Rida,
Ahmed Mohamed Yousef,
Asmaa Sabry Zaki,
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Abstract |
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| 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.
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