Probing the Oscillatory Behavior of Internet Game Addiction via Diffusion PDE Model
Abstract
:1. Introduction
1.1. Background and Model
- (i)
- Internet game players are simply divided into two categories: moderate gamers M and addictive gamers A;
- (ii)
- Because it is very difficult to stop playing games through self-control, Internet game players M and A are treated.
- (iii)
- The spatial distribution of the number of Internet game players is very uneven, which is concentrated in places such as Internet cafes and schools, and then gradually decreases outward. Based on this, we assume that the population distribution of the two types of Internet game players is diffuse in space.
1.2. Significance and Contribution
- For some given constants and an unknown constant , there are and .
2. Super- and Sub-Solutions
3. Existence of Traveling Wave
4. Asymptotical Stability of Traveling Wave
5. Numerical Simulation
6. Conclusions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Zhao, K. Probing the Oscillatory Behavior of Internet Game Addiction via Diffusion PDE Model. Axioms 2022, 11, 649. https://doi.org/10.3390/axioms11110649
Zhao K. Probing the Oscillatory Behavior of Internet Game Addiction via Diffusion PDE Model. Axioms. 2022; 11(11):649. https://doi.org/10.3390/axioms11110649
Chicago/Turabian StyleZhao, Kaihong. 2022. "Probing the Oscillatory Behavior of Internet Game Addiction via Diffusion PDE Model" Axioms 11, no. 11: 649. https://doi.org/10.3390/axioms11110649