手机成瘾动力学模型的定性分析  

Qualitative Analysis of the Dynamic Model of Mobile Phone Addiction

作　　者：高德宝[1] 张桢 邱嘉仁 GAO Debao;ZHANG Zhen;QIU Jiaren(College of Science,Heilongjiang Bayi Agricultural University,Daqing 163319,China)

机构地区：[1]黑龙江八一农垦大学理学院,黑龙江大庆163319

出　　处：《通化师范学院学报》2024年第2期40-45,共6页Journal of Tonghua Normal University

基　　金：黑龙江八一农垦大学大学生创新创业训练计划项目(XC2022019)。

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.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 

分 类 号：O193[理学—数学]