迪布韦克
顾秋阳1，琚春华2,3，吴功兴2,3
（1. 浙江工业大学管理学院，浙江杭州 310023；
2.浙江工商大学管理工程与电子商务学院，浙江杭州 310018；
3. 浙江工商大学统计学院，浙江杭州310018）
成都信息工程学院学报
摘 要：近年，社交网络已经成为用户普遍使用的进行知识分享的媒介。对社交网络环境中的知识传播进行建模研究，以期为有关部门有效实施监管、提升用户的知识交流效率提供借鉴。以经典的SIS和SIR模型为基础，融入用户合作和领导激励等因子进行优化，并结合复制动态方程构建两种社交网络用户知识传播模型（SISL/SIRL）并进行分析，最后给出数值与模型算例。结果表明：存在领导者的社交网络知识传播速率更快。
在社交网络知识传播过程中，易感染用户数量减少，免疫用户数量增加，感染用户数量小范围内上下波动。
构建的知识传播模型相对于经典模型与真实社交网络具有更强的拟合性。
关键词：用户合作；领导激励；社交网络；知识传播
中图分类号：G206
文献标识码：A
doi: 10.11959/j.issn.1000−0801.2020284
Knowledge communication model of social network with user cooperation and leadership encouragement
GU Qiuyang1, JU Chunhua2,3, WU Gongxing2,3
1. School of Management, Zhejiang University of Technology, Hangzhou 310023, China
2. School of Management Science & Engineering, Zhejiang Gongshang University, Hangzhou 310018, China
3. Institute of Statistics, Zhejiang Gongshang University, Hangzhou 310018, China
Abstract: In recent years, social networks have become a common medium for users to share knowl
edge. The know-ledge communication in the social network environment was modeled and researched, with a hope to provide refer-ence for relevant departments to effectively implement supervision and improve users’ knowledge exchange efficien-cy. Based on the classic SIS and SIR models, factors such as user cooperation and leadership encouragement for op-timization were integrated, and the replication of dynamic equations was combined to construct and analyze two so-cial network user knowledge communication models (SISL /SIRL). Finally, the data and model examples were given.上海市教育人才交流服务中心
The results show that the speed of knowledge communication is faster in social networks with leaders. In the process
收稿日期：2020−09−20；修回日期：2020−10−14
新语丝网
基金项目：国家自然科学基金资助项目（No. 71571162）；浙江省哲学社会科学规划重点课题项目（No. 20NDJC10Z）；浙江省自然科学基金资助项目（No.LQ20G010002；No.LY18D010006)
Foundation Items: The National Natural Science Foundation of China (No.71571162), Zhejiang Philosophy and Social Science Plan-
ning Key Project (No.20NDJC10Z), The Natural Science Foundation of Zhejiang of China (No.LQ20G010002, No.LY18D010006)
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