摘要
借助SIS模型提出一种复杂网络上带有出生、死亡的基于遗忘水平的知识传播模型,分析了平衡点的存在性,并给出了模型的传播阈值R0.在该阈值条件下,当R0>1时,知识会持续传播并使群体有较高的文化水平;相反,知识将会消亡.模拟结果表明:即使在传播阈值不变的情况下,当有更好的文化氛围时,知识的传播速度会更快.
Via research, a general model with forgetful level as well as birth and death for knowledge transmission in complex networks was established based on SIS epidemic model, and the existence of equilibrium was analyzed in theory, also the transmission threshold R0 of model was given. Under this threshold, there was higher cultural level in group as a whole when R0 〉 1, and knowledge could be continuous transmission. In contrast, it would completely extinct. In addition, simulations also suggest the knowledge transmission velocity can be accelerated when better culture atmosphere is existed, though transmission threshold is unchanged.
出处
《中北大学学报（自然科学版）》
CAS
北大核心
2014年第2期136-140,共5页
Journal of North University of China(Natural Science Edition)
基金
国家自然科学基金资助项目(11171314
11331009)
山西省青年科学基金资助项目(2011021001-2)
山西省回国留学人员科研项目(2010-074)
关键词
知识传播
遗忘水平
无标度网络
平衡点
knowledge transmission
forgetful level
SF networks
equilibrium
