摘要
构建一类具有阶段结构的强制治疗网络游戏成瘾者的传播模型,利用再生矩阵方法确定模型的基本再生数,研究网络游戏无瘾平衡点和网络游戏成瘾平衡点的全局稳定性,并证明当基本再生数R_(0)≤1时网游无瘾平衡点是全局渐近稳定的,当R_(0)>1时网络游戏成瘾平衡点唯一存在.进一步利用数值模拟验证相关结果及平衡点的全局渐近稳定性.
An Internet gaming addictive treatment model with staged structure is established and its basic reproduction number is determined with regeneration matrix method.Global stability of Internet gaming non-addictive equilibrium is also investigated and it is found that,when R_(0)≤1,the Internet gaming non-addictive equilibrium will be global-asymptotically stable.when R_(0)>1,there will exist a unique Internet gaming addictive equilibrium.Further,the numeric simulation is used to verify relevant results and global-asymptotically stability of Internet gaming equilibrium.
作者
柳晓康
LIU Xiao-kang(Foundation Department,Engineering University of PAP,xi’an 710086,China)
出处
《青海师范大学学报（自然科学版）》
2021年第4期21-25,共5页
Journal of Qinghai Normal University(Natural Science Edition)
关键词
网游成瘾平衡点
网游无瘾平衡点
基本再生数
稳定性
Internet gaming addictive equilibrium
Internet gaming non-addictive equilibrium
basic reproduction number
stability
