Abstract
<abstract><p>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.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference28 articles.
1. World Health Organization, The 11th revision of the International Classification of Diseases (ICD-11), Geneva, 2018.
2. W. Feng, D. E. Ramo, S. R. Chan, J. A. Bourgeois, Internet gaming disorder: Trends in prevalence 1998–2016, Addict. Behav., 75 (2017), 17–24. https://doi.org/10.1016/j.addbeh.2017.06.010
3. Diagnostic and statistical manual of mental disorders (DSM-5), 5 Eds., Washington: American Psychiatric Association, 2013. https://doi.org/10.1176/appi.books.9780890425596
4. F. W. Paulus, S. Ohmann, A. von Gontard, C. Popow, Internet gaming disorder in children and adolescents: a systematic review, Dev. Med. Child Neurol., 60 (2018), 645–659. https://doi.org/10.1111/dmcn.13754
5. Y. M. Guo, T. T. Li, Optimal control and stability analysis of an online game addiction model with two stages, Math. Methods Appl. Sci., 43 (2020), 4391–4408. https://doi.org/10.1002/mma.6200
Cited by
19 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献