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.
作者
高德宝
张桢
邱嘉仁
GAO Debao;ZHANG Zhen;QIU Jiaren(College of Science,Heilongjiang Bayi Agricultural University,Daqing 163319,China)
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)。
关键词
手机成瘾
动力学模型
平衡点
全局稳定性
数值仿真
mobile phone addiction
mathematical model
equilibrium
global stability
numerical simulation
