Optimal control and stability analysis of an online game addiction model with two stages

Author(s):  
Youming Guo ◽  
Tingting Li
Filomat ◽  
2019 ◽  
Vol 33 (17) ◽  
pp. 5691-5711 ◽  
Author(s):  
Tingting Li ◽  
Youming Guo

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.


2018 ◽  
Vol 5 (2) ◽  
pp. 105
Author(s):  
Didik Gunawan

Addiction to online games is an excessive behavior to play online games that have an impact on the formation of maladaptive behavior, not in accordance with the norms prevailing in the community. Counseling behavioral modeling techniques is one of the services that are considered appropriate to overcome online game addiction problems. The purpose of this study is to determine whether counseling behavioral modeling techniques can be applied to overcome online game addiction in children aged 10 years. The type of research used by researchers is the type of single subject research, using the A-B research design (A = baseline condition, B = intervention condition). A-B shows two stages of design; A is baseline data (pretest) and B is intervention (posttest). The results showed that behavioral counseling modeling techniques were effective for reducing online game addiction in children aged 10 years.


2021 ◽  
Vol 7 (3) ◽  
pp. 3745-3770
Author(s):  
Youming Guo ◽  
◽  
Tingting Li ◽  

<abstract><p>The problem of online game addiction among teenagers is becoming more and more serious in many parts of the world. Many of them are addicted to online games due to the lack of family education, which is an important factor that can not be ignored. To explore the optimal strategy for controlling the spread of game addiction, a new dynamic model of teenagers' online game addiction with considering family education is developed. Firstly, we perform a qualitative dynamic analysis of the model. We study the nonnegativity and boundedness of solutions, the basic reproduction number $ R_{0} $, and the existence and stability of equilibria. We then consider a model with control measures of family education, isolation and treatment, and obtain the expression of optimal control. In the numerical simulation, we study the global sensitivity analysis by the combination of Latin Hypercube Sampling (LHS) and partial rank correlation coefficient (PRCC) techniques, and show the relationship between $ R_{0} $ and each parameter. Then the forward backward sweep method with fourth order Runge-Kutta is used to simulate the control strategy in each scenario. Finally, the optimal control strategy is obtained by comparing incremental cost-effectiveness ratio (ICER) and infection averted ratio (IAR) under all strategies. The results show that with sufficient financial resources, adding the family education measures can help more teenagers avoid being addicted to games and control the spread of game addiction more effectively.</p></abstract>


10.32698/0772 ◽  
2019 ◽  
Vol 2 (2) ◽  
pp. 113
Author(s):  
Eryzal Novrialdy ◽  
Herman Nirwana ◽  
Riska Ahmad

Adolescents are currently in the midst of technological sophistication, which is very helpful for its development. On the other hand, many adolescents are trapped in the problem of technology addiction. Adolescents are the most age group who experience problems with the use of technology, including online games. Online game addiction is the loss of control over the use of online games, which makes other daily activities are disrupted. Online game addiction in adolescents have an impact on several aspects of life, such as health aspects, psychological aspects, academic aspects, social aspects, and financial aspects. Lack of understanding about the risks of online game addiction can get adolescent stuck in online game addiction. This research aims to describe high school students understanding about the risks of online game addiction. The sample consisted of 255 high school students selected by proportional random sampling technique. Data was collected using a scale measuring understanding of the risks of online game addiction. Data analysis used a quantitative approach with descriptive methods. The results showed that high school students understanding about the risks of online game addiction was included in the moderate category with an average score of 198,48 and an achievement score level of 55,14%. Therefore, school counselors must to improve high school students understanding of the risks of online game addiction.


Author(s):  
Jason C. Hung ◽  
Min-Hui Ding ◽  
Wen-Hsing Kao ◽  
Pi-Chung Wang
Keyword(s):  

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