Mathematical modeling and stability analysis of endemic equilibrium point of gaming disorder

Abstract

In this article, we propose a PEAR mathematical model that describes the dynamic of a population that reacts in the spread of the E-game infection. By using Routh-Hurwitz criteria and constructing Lyapunov functions, the local stability and the global stability of endimec equilibrium point are obtained. Since there are usually errors in data collection and assumed parameter values, we also study the sensitivity analysis of the model parameters to know the parameters that have a high impact on the reproduction number R0. The stability analysis of the model that they proposed shows that the system is locally and globally asymptotically stable at endemic equilibrium point when R0 > 1. Finally, some numerical simulations are performed to verify the theoretical analysis using Matlab software.