受热度影响的$SEIR-f$谣言传播模型
$SEIR−f$ rumor propagation model affected by popularity
万俊麟 1刘贤宁2
作者信息
- 1. 西南大学数学与统计学院,重庆 400715
- 2. 西南大学数学与统计学院,重庆 400715
- 折叠
摘要
随着短视频平台成为公共信息传播的重要渠道之一,人们在获取信息和内容交流上变得越来越方便,但由此谣言的传播也变得更容易.虽说随着互联网的发展,谣言早已在新媒体上的得到了新的发展,但是作为新型媒体的短视频平台,其具有的新的特点使得谣言在其中的传播似乎得到了更好的成长.因此早期传统基于社交网络点对点传播假设的$SIR$类动力学模型难以适配短视频场景的特殊传播规律,开展适配短视频场景的谣言传播动力学研究具有重要的理论价值与现实意义.本文考虑短视频平台的用户使用特征和平台的流量推送机制提出了一类谣言传播模型,并对其动力学性质进行研究.
Abstract
As short video platforms have become one of the important channels for public information dissemination,people can acquire information and communicate content more conveniently.Meanwhile,rumors also spread more easily.With the development of the Internet,rumors have evolved continuously on new media.As a new form of media,short video platforms possess distinct characteristics that further facilitate the spread of rumors.For this reason,traditional $SIR$-type dynamic models established on the assumption of point-to-point propagation in social networks are no longer applicable to the unique propagation rules of rumors in short video scenarios.Therefore,research on rumor propagation dynamics adapted to short video scenarios is of important theoretical value and practical significance.Taking into account user behavior characteristics and the traffic recommendation mechanism of short video platforms,this paper proposes a novel rumor propagation model and investigates its dynamic properties.关键词
流量推送机制\quad 基本再生数\quad 稳定性理论\quad 最优控制理论Key words
traffic recommendation mechanism/ basic reproduction number/ stability theory/ optimal control theory引用本文复制引用
万俊麟,刘贤宁.受热度影响的$SEIR-f$谣言传播模型[EB/OL].(2026-06-08)[2026-06-13].http://www.paper.edu.cn/releasepaper/content/202606-36.学科分类
数学
