FRACTALS FRACTIONAL MATHEMATICAL MODEL FOR THE EVOLUTION OF COVID-19 WITH VACCINATION AND SOCIAL MEDIA EFFECT

Sadique Ahmad () and Ala Saleh D. Alluhaidan
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Sadique Ahmad: EIAS
Ala Saleh D. Alluhaidan: Department of Information Systems, College of Computer and Information Sciences, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

FRACTALS (fractals), 2025, vol. 33, issue 06, 1-18

Abstract: In this paper, we undertook a COVID-19 mathematical model with the social media impact in using of COVID-19 vaccination. For the mentioned study, we use fractals fractional order model to study the complex geometry behind the said dynamical systems. For the existence theory of such model, we used fixed point approach. Ulam–Hyers stability is also required in numerical findings. Some fundamental results such as basic reproductive number and equilibrium points are derived. Numerical analysis is performed to simulate the theoretical results. For the simulations purposes, a numerical scheme based on interpolation is developed. Various graphical presentations are given to demonstrate the results.

Keywords: COVID-19; Social Media; Fractals Fractional Derivative; Theory of Existence; Numerical Analysis (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401164

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