Global stability of a novel nonlinear diffusion online game addiction model with unsustainable control
Kaihong Zhao
Abstract
<abstract><p>In this paper, we build a novel nonlinear diffusion online game addiction model with unsustainable control. The existence and boundedness of a solution are investigated by a $ C_0 $-semigroup and differential inclusion. Simultaneously, we study the global asymptotic stability of steady states of the model. Finally, a concrete example is theoretically analyzed and numerically simulated.</p></abstract>
Topics & Concepts
SemigroupExponential stabilityDiffusionNonlinear systemStability (learning theory)Differential gameControl (management)Applied mathematicsControl theory (sociology)MathematicsComputer scienceMathematical economicsMathematical optimizationMathematical analysisPhysicsThermodynamicsArtificial intelligenceQuantum mechanicsMachine learningMathematical and Theoretical Epidemiology and Ecology ModelsOpinion Dynamics and Social InfluenceComplex Network Analysis Techniques