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Stability and bifurcation for an SEIS epidemic model with the impact of media | |
Huo, Hai-Feng; Yang, Peng; Xiang, Hong | |
2018-01-15 | |
发表期刊 | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS |
ISSN | 0378-4371 |
卷号 | 490页码:702-720 |
摘要 | A novel SEIS epidemic model with the impact of media is introduced. By analyzing the characteristic equation of equilibrium, the basic reproduction number is obtained and the stability of the steady states is proved. The occurrence of a forward, backward and Hopf bifurcation is derived. Numerical simulations and sensitivity analysis are performed. Our results manifest that media can regard as a good indicator in controlling the emergence and spread of the epidemic disease. (C) 2017 Elsevier B.V. All rights reserved. |
关键词 | Media Basic reproductive number Stability Bifurcation |
DOI | 10.1016/j.physa.2017.08.139 |
收录类别 | SCI ; SCIE |
语种 | 英语 |
资助项目 | NNSF of China[11461041][11661050] ; NSF of Gansu Province of China[148RJZA024] |
WOS研究方向 | Physics |
WOS类目 | Physics, Multidisciplinary |
WOS记录号 | WOS:000415912900065 |
出版者 | ELSEVIER SCIENCE BV |
EI入藏号 | 20173704150976 |
EI主题词 | Hopf bifurcation |
EI分类号 | 461.7 Health Care - 461.9 Biology - 921 Mathematics - 921.6 Numerical Methods |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/32830 |
专题 | 材料科学与工程学院 理学院 学科建设与学位办公室 |
通讯作者 | Huo, Hai-Feng |
作者单位 | Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China |
第一作者单位 | 材料科学与工程学院 |
通讯作者单位 | 材料科学与工程学院 |
第一作者的第一单位 | 材料科学与工程学院 |
推荐引用方式 GB/T 7714 | Huo, Hai-Feng,Yang, Peng,Xiang, Hong. Stability and bifurcation for an SEIS epidemic model with the impact of media[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2018,490:702-720. |
APA | Huo, Hai-Feng,Yang, Peng,&Xiang, Hong.(2018).Stability and bifurcation for an SEIS epidemic model with the impact of media.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,490,702-720. |
MLA | Huo, Hai-Feng,et al."Stability and bifurcation for an SEIS epidemic model with the impact of media".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 490(2018):702-720. |
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