摘要
为分析熟人在知识传播中的作用,运用平均场方程在复杂网络中建立了一个Susceptible-InfectedHesitation(SIH)模型并分析知识传播的条件,即当基本再生数小于1时,知识无法传播;当基本再生数大于1时,知识可以传播.通过在无标度网络中进行数值仿真证实知识传播的条件,并进一步研究参数对知识传播的影响.提高熟人的作用力可以促进知识传播.
In order to analyze the role of acquaintances in knowledge transmission,the mean field equation is applied to establish a Susceptible-Infected-Hesitation(SIH)model in a complex network,and the conditions of knowledge transmission are analyzed.When the basic reproduction number is less than 1,knowledge cannot be transmitted,when the basic reproduction number is greater than 1,knowledge can be transmitted.The conditions of knowledge dissemination are verified by numerical simulation in scale-free network and the influence of parameters on knowledge transmission is further studied.And increasing the power of acquaintances can promote knowledge transmission.
作者
梅俊
王思馨
夏丹
王维峰
MEI Jun;WANG Sixin;XIA Dan;WANG Weifeng(College of Mathematics and Statistics,South-Central Minzu University,Wuhan 430074,China;Artificial Intelligence in Education,Central China Normal University,Wuhan 430079,China)
出处
《中南民族大学学报（自然科学版）》
CAS
北大核心
2022年第6期763-768,共6页
Journal of South-Central University for Nationalities：Natural Science Edition
基金
国家自然科学基金资助项目(61907021)
中央高校基本科研业务费专项资金资助项目(CZT20022)
中南民族大学数学与统计学学院科研基金资助项目(YZZ19004)。
关键词
知识传播
熟人
SIH模型
复杂网络
knowledge transmission
acquaintances
SIH model
complex networks
