Deterministic and Stochastic Modeling, Analysis, and Simulation of Social Media TikTok Addiction

Aychew Wondyfraw Tesfaye, Worku Mihret Fenta and Haileyesus Tessema Alemneh

Discrete Dynamics in Nature and Society, 2026, vol. 2026, 1-13

Abstract: TikTok is an entertainment app that allows users to share short videos on various topics, but excessive use can lead to physical, mental, and emotional health issues like exhaustion and depression. Recognizing the signs of TikTok addiction is crucial. This paper explores a deterministic and extended to the stochastic modeling of TikTok addiction within the human population. We begin with a deterministic model using nonlinear differential equations and then extend our analysis to a stochastic approach. We calculate basic reproduction numbers and show that both disease-free and endemic equilibrium points are asymptotically stable under certain conditions. Using MATLAB for numerical simulations, we find that the number of addicted individuals increases with the interaction rate between susceptible users and TikTok addicted. As treatment for addiction improves, the recovery population grows while the number of addicted individuals decreases. The stochastic model provides a deeper understanding of addiction dynamics compared to the deterministic approach.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/ddns/2026/8866734.pdf (application/pdf)
http://downloads.hindawi.com/journals/ddns/2026/8866734.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8866734

DOI: 10.1155/ddns/8866734

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().