TIKTOK’S INFLUENCE: INSIGHTS FROM A FRACTIONAL ORDER MATHEMATICAL MODEL ON HUMAN BEHAVIOR

Fareeha Sami Khan, M. Khalid and Afraz Hussain Majeed
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Fareeha Sami Khan: Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Karachi 75300, Pakistan
M. Khalid: Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Karachi 75300, Pakistan
Afraz Hussain Majeed: ��School of Energy and Power Engineering, Jiangsu University, Zhenjiang 212013, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 03, 1-9

Abstract: During worldwide epidemic of COVID-1, people started to depend on social media apps to cure their boredom. It was beneficial to provide information easily to a wide audience. The increased time people spent on their phones led to many, including teenagers and children, becoming addicted to social media, particularly TikTok. As a result, this usage of TikTok became an epidemic itself. Therefore, in this work, a fractional mathematical model is being developed to analyze the influence of TikTok on human population of different ages. In this paper, two equilibrium points for this model will be discussed and the theoretical stability will be proven. For numerical analysis, fractional Euler’s method will be used and the results will be discussed graphically and which group of population will be affected the most by frequent use of TikTok.

Keywords: Control Theory; Stability Analysis; TikTok; System of Differential Equations; Numerical Solution (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X24501482

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