Probing the Oscillatory Behavior of Internet Game Addiction via Diffusion PDE Model
Kaihong Zhao
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.
Topics & Concepts
ContinuationCorrectnessPartial differential equationDiffusionApplied mathematicsTraveling waveStability (learning theory)Mechanism (biology)MathematicsThe InternetExponential stabilityMathematical analysisComputer sciencePhysicsAlgorithmProgramming languageMachine learningThermodynamicsWorld Wide WebNonlinear systemQuantum mechanicsMathematical and Theoretical Epidemiology and Ecology ModelsOpinion Dynamics and Social InfluenceNonlinear Dynamics and Pattern Formation