[1]周 强,李小雪,谭远顺.基于媒介干扰的一类多尺度模型分析及应用[J].南京师大学报(自然科学版),2022,45(04):16-20.[doi:10.3969/j.issn.1001-4616.2022.04.003]
 Zhou Qiang,Li Xiaoxue,Tan Yuanshun.Analysis and Application of a Kind of Multi-scale Model Based on Media Interference[J].Journal of Nanjing Normal University(Natural Science Edition),2022,45(04):16-20.[doi:10.3969/j.issn.1001-4616.2022.04.003]
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基于媒介干扰的一类多尺度模型分析及应用()
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《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

卷:
第45卷
期数:
2022年04期
页码:
16-20
栏目:
数学
出版日期:
2022-12-15

文章信息/Info

Title:
Analysis and Application of a Kind of Multi-scale Model Based on Media Interference
文章编号:
1001-4616(2022)04-0016-05
作者:
周 强13李小雪2谭远顺2
(1.重庆南开中学校,重庆 沙坪坝 400030)
(2.重庆交通大学数学与统计学院,重庆 南岸 400074)
(3.云南师范大学泛亚商学院,云南 昆明 650092)
Author(s):
Zhou Qiang13Li Xiaoxue2Tan Yuanshun2
(1.Chongqing Nankai Middle School,Chongqing 400030,China)
(2.Department of Mathematics,Chongqing Jiaotong University,Chongqing 400074,China)
(3.Pan Asia Business School of Yunnan Normal University,Yunnan 650092,China)
关键词:
相关性分析SIR模型多尺度稳定性教育规划
Keywords:
correlation analysisSIR modelmulti-scalestabilityeducation project
分类号:
O29; Q332
DOI:
10.3969/j.issn.1001-4616.2022.04.003
文献标志码:
A
摘要:
文章基于疫情背景下实际数据,建立了一类媒体干扰下的多尺度数学模型,利用Spearman分析和互相关分析方法对获取的媒体数据进行了处理,基于改进SIR传染病分析方法,得到了系统的动力学行为. 将数学理论分析得到的结论及处理后的数据应用于实际,为制定科学合理的政府教育规划提供了理论参考.
Abstract:
Based on the actual data under the background of epidemic situation,this paper establishes a multi-scale mathematical model under the interference of media,processes the data first using Spearman analysis and cross-correlation analysis methods,and obtains the dynamic behaviors of the system based on the improved SIR infectious disease analysis method. Secondly,the conclusions obtained from the mathematical theory analysis and the processed data are applied to practice,which provides a theoretical guidance for formulating a scientific and reasonable government education plan.

参考文献/References:

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[2]王晓静,潘艳雪,王丹,等. 一类具有媒体播报和时滞效应的传染病模型的稳定性分析[J]. 生物数学学报,2017,32(3):321-332.
[3]刘玉英,肖燕妮. 一类受媒体影响的传染病模型的研究[J]. 应用数学和力学,2013,34(4):399-407.
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[5]孙传成,邱志鹏,杨晓敏. 一类具有媒体影响的媒介传染病模型的分析[J]. 系统科学与数学,2017,37(9):2028-2038.
[6]KERMACK W O,MCKENDRICK A G. Contributions to the mathematical-theory of epidemics[J]. Bulletin of mathematical biology,1991,53(1):33-55.
[7]闫琴玲. 个体行为改变与传播动力学多尺度建模与数据分析研究[D]. 西安:陕西师范大学,2019.
[8]宋鹏飞,楼元,朱利平,等. 多阶段多尺度斑块模型以及在新型冠状病毒肺炎疫情中的应用[J]. 应用数学学报,2020,43(2):174-199.

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备注/Memo

备注/Memo:
收稿日期:2022-08-26.
基金项目:国家自然科学基金项目(12271068,11961024)、重庆市教育科学规划重点课题(2020-07-203).
通讯作者:谭远顺,博士,教授,研究方向:生态系统理论及应用. E-mail:tanys625@163.com
更新日期/Last Update: 2022-12-15