As the number of internet users appears to steadily increase each year, Internet Gaming Disorder (IGD) is bound to increase as well. The question how this increase will take place, and what factors have the largest impact on this increase, naturally arises. We consider a system of ordinary differential equations as a simple mathematical model of the population dynamics about the internet gaming. We assume three stages about the internet gamer’s state: moderate, addictive, and under treatment. The transition of the gamer’s state between the moderate and the addictive stages is significantly affected by the social nature of internet gaming. As the activity of social interaction gets higher, the gamer would be more likely to become addictive. With the inherent social reinforcement of internet game, the addictive gamer would hardly recontrol his/herself to recover to the moderate gamer. Our result on the model demonstrates the importance of earlier initiation of a system to check the IGD and lead to some medical/therapeutic treatment. Otherwise, the number of addictive gamers would become larger beyond the socially controllable level.

中文翻译：

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网络游戏成瘾人口动态的数学模型

随着互联网用户的数量似乎每年都在稳步增加，互联网游戏障碍 (IGD) 也必然会增加。这种增长将如何发生以及哪些因素对这种增长影响最大的问题自然会出现。我们将常微分方程系统视为有关网络游戏的人口动态的简单数学模型。我们假设网络游戏玩家的状态分为三个阶段：中度、上瘾和接受治疗。游戏玩家状态在中度和上瘾阶段之间的转变受到网络游戏社交性质的显着影响。随着社交互动的活跃度越来越高，游戏玩家更容易上瘾。随着网络游戏固有的社会强化，上瘾的游戏玩家几乎不会重新控制自己以恢复到温和的游戏玩家。我们在模型上的结果证明了早期启动系统以检查 IGD 并导致一些医疗/治疗的重要性。否则，上瘾的游戏玩家数量将变得超出社会可控水平。