高师理科学刊2025，Vol.45Issue(7)：12-16,5.DOI:10.3969/j.issn.1007-9831.2025.07.004
基于微分动力学模型的知识传播与仿真研究
Knowledge dissemination and simulation research based on the differential dynamic model
摘要
Abstract
Knowledge dissemination plays an indispensable role in driving knowledge innovation and facilitating the progress of society and technology.The impact of super-spreaders on knowledge dissemination is explored,a dynamic model of differential equations incorporating super-spreaders is constructed.The basic reproduction number of the model is calculated,the local asymptotic stability of the equilibrium point of non-disseminated knowledge and the equilibrium point of disseminated knowledge is analyzed by using the Routh-Hurwitz criterion,and the theoretical results are verified through numerical simulations.The research shows that increasing the probability of transforming the ignorant into knowledge disseminators and the probability of transforming the knowledge disseminators into super-spreaders can effectively promote knowledge dissemination and accelerate the diffusion of knowledge among groups.关键词
知识传播/微分动力学/稳定性分析/超级传播者Key words
knowledge dissemination/differential dynamics/stability analysis/super spreaders分类
数理科学引用本文复制引用
邢军..基于微分动力学模型的知识传播与仿真研究[J].高师理科学刊,2025,45(7):12-16,5.基金项目
辽宁省教育厅项目(JYTMS20230930)——基于知识传播的图书馆藏内容评价与管理研究 （JYTMS20230930）
