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May 13, 2026Scientific ReportsOpen Access

Theoretical mathematical modeling of compulsive social-media use for digital well-being: cumulative engagement and validation dynamics

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Authors

TCTichaona ChikoreFNFarai Nyabadza

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Overview

Theoretical framework models social-media engagement impacts on digital well-being, suggesting essential dynamics for intervention.

Key Points

  • This work aims to develop a formal mathematical model that describes how social media engagement dynamics affect digital well-being across different demographics.
  • Constructed a continuous-time mathematical model to formalize engagement and validation dynamics.
  • Incorporated feedback between cumulative engagement and validation exposure, using demographic-specific functions.
  • Utilized Kalman filtering for state-space estimation and simulation of the model.
  • Demonstrated that engagement influences validation intensity through algorithmic mechanisms.
  • Showed nonlinear dynamics in cumulative engagement with behavioral decay characteristics.
  • Validated the model's ability to capture demographic variations in validation responses.

Cite This Study

Chikore et al. (2026) studied this question.

synapsesocial.com/papers/6a04156479e20c90b44452edhttps://doi.org/10.1038/s41598-026-50538-7
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