|Table of Contents|

Analysis and Application of a Kind of Multi-scale Model Based on Media Interference(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2022年04期
Page:
16-20
Research Field:
数学
Publishing date:

Info

Title:
Analysis and Application of a Kind of Multi-scale Model Based on Media Interference
Author(s):
Zhou Qiang1; 3; Li Xiaoxue2; Tan 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)
Keywords:
correlation analysis; SIR model; multi-scale; stability; education project
PACS:
O29; Q332
DOI:
10.3969/j.issn.1001-4616.2022.04.003
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.

References:

[1]李贵,董溪. 新时代爱国主义教育的四重维度[J]. 中北大学学报,2021,37(6):11-16.
[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.
[4]NEAIGUS A,JENNESS S M,HAGAN H,et al. Estimating HIV incidence and the correlates of recent infection in Venue-Sampled men who have sex with men in New York City[J]. AIDS and behavior,2012,16(3):516-524.
[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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Last Update: 2022-12-15