Probing the Oscillatory Behavior of Internet Game Addiction via Diffusion PDE Model

Abstract

We establish a non-linear diffusion partial differential equation (PDE) model to depict the dynamic mechanism of Internet gaming disorder (IGD). By constructing appropriate super- and sub-solutions and applying Schauder’s fixed point theorem and continuation method, we study the existence and asymptotic stability of traveling wave solutions to probe into the oscillating behavior of IGD. An example is numerically simulated to examine the correctness of our outcomes.

Keywords

• Internet game addiction
• nonlinear diffusion PDE model
• super- and sub-solutions
• traveling wave
• existence and stability