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Nonlinear dynamics of the media addiction model using the fractal-fractional derivative technique

Author

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  • Saima Rashid
  • Rehana Ashraf
  • Ebenezer Bonyah
  • Muhammad Ahmad

Abstract

Excessive use of social media is a developing concern in the twenty-first century. This issue needs to be addressed before it has any more significant consequences than what we are currently experiencing. As a preventive technique, advertisements and awareness-raising campaigns about the detrimental impact of digital technologies are used. The application of novel mathematical techniques and terminologies in this field of study will have significant potential to enhance healthy living by preventing certain ailments. This is the most compelling justification for conducting a new study with the most up-to-date techniques at our disposal. This study investigates clear and concise transmission in order to generate a deterministic mathematical model of social media addiction SMA using the fractal-fractional (FF) derivative operator. Also, the analysis of the SMA model in terms of the invariant domain, the existence of a positive invariant solution, and equilibria assumptions are stated in a detailed manner. Besides that, the basic reproduction number â„ 0

Suggested Citation

  • Saima Rashid & Rehana Ashraf & Ebenezer Bonyah & Muhammad Ahmad, 2022. "Nonlinear dynamics of the media addiction model using the fractal-fractional derivative technique," Complexity, Hindawi, vol. 2022, pages 1-18, October.
    • Handle: RePEc:hin:complx:2140649
    DOI: 10.1155/2022/2140649
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