Open AccessStability Analysis of an Online Game Addiction Model with Relapse and Time Delay
Author(s) -
Youming Guo,
Tingting Li
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1325/1/012039
Subject(s) - stability (learning theory) , basic reproduction number , addiction , reproduction , order (exchange) , process (computing) , computer science , mathematical economics , psychology , control theory (sociology) , mathematical optimization , developmental psychology , mathematics , economics , biology , demography , neuroscience , ecology , sociology , control (management) , artificial intelligence , machine learning , population , finance , operating system
In order to simulate the process of game communication, a SIPQ model with relapse and time delay is constructed, which includes susceptible, infective, professional and quitting compartments. We also consider that the direct transfer from the susceptible individuals to the professional individuals. The global dynamics of the model are determined by the basic reproduction number R0. The locally asymptotical stability of disease-free equilibrium is derived.