警醒教育环境下的低头族动力模型分析
Dynamic model analysis of the phubbing group in alert education environment
张桢 1李翔宇 1高德宝1
作者信息
- 1. 黑龙江八一农垦大学 理学院,黑龙江 大庆 163319
- 折叠
摘要
长时间低头玩手机对身体和心理危害很大,对低头族进行警醒教育很有必要.构建了警醒教育环境下有主动或被动戒除手机瘾群体的数学模型,证明了模型具有两个全局渐近稳定平衡点.理论结果表明,当加大警醒教育力度时,手机瘾人数会逐渐减少.数值模拟验证了模型理论的正确性.
Abstract
Playing with mobile phones while bowing down for a long time can cause significant physical and psychological harm,so it is necessary to give warning education to the phubbing group.A mathematical model of mobile phone addicts with active or passive abstinence in an alert education environment was constructed,and it has been proven that the model has two globally asymptotically stable equilibrium points.The theoretical results showed that the number of mobile phone addicts would gradually decrease when the vigilance education was strengthened.The numerical simulation verified the correctness of the model theory.
关键词
低头族/数学模型/警醒教育/全局稳定性/数值仿真Key words
phubbing group/mathematical model/alert education/global stability/numerical simulation引用本文复制引用
基金项目
黑龙江八一农垦大学大学生创新创业训练计划(XC2022019)
出版年
2024