Global stability of a novel nonlinear diffusion online game addiction model with unsustainable control

Abstract

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.

Keywords

• online game addiction model
• reaction-diffusion
• unsustainable control
• global asymptotic stability