Open AccessStability and optimal control in a mathematical model of online game addiction
Author(s) -
Tingting Li,
Youming Guo
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1917691l
Subject(s) - stability (learning theory) , construct (python library) , addiction , mathematics , basic reproduction number , control (management) , optimal control , mathematical optimization , reproduction , mathematical economics , computer science , artificial intelligence , psychology , machine learning , ecology , medicine , environmental health , neuroscience , biology , population , programming language
In this paper, we construct an online game addiction model(including susceptible, infective, professional and quitting compartments). We also consider that the direct transfer from the susceptible individuals to the professional individuals. Some properties of the model are derived by the basic reproduction number R0 and stability of all kinds of equilibria is obtained. Then we use Pontriagin?s maximum principle to solve the optimal control strategy. Finally, Numerical simulations are also conducted in the analytic results.