手机成瘾动力学模型的定性分析
Qualitative Analysis of the Dynamic Model of Mobile Phone Addiction
高德宝 1张桢 1邱嘉仁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
根据手机用户不同群体之间的人员转移关系,文章构建了一个手机成瘾动力学模型.首先,计算了模型的基本再生数和两个平衡点.其次,证明了在一定条件下,非负平衡点和唯一正平衡点是全局渐近稳定的.最后,用数值算例验证了相关结论的正确性.
Abstract
According to the transfer relationship between different groups of mobile phone users,this paper constructs a dynamic model of mobile phone addiction epidemic.Firstly,the basic regeneration number and two equilibriums of the model are calculated.Secondly,it is proved that the non-negative equilibrium and the only positive equilibrium are globally stable under certain conditions.Finally,the correctness of the relevant conclusions is verified by numerical simulation.
关键词
手机成瘾/动力学模型/平衡点/全局稳定性/数值仿真Key words
mobile phone addiction/mathematical model/equilibrium/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项目(XC2022019)
出版年
2024
NETL
NSTL
维普
万方数据