Stability and bifurcation for an SEIS epidemic model with the impact of media

doi:10.1016/j.physa.2017.08.139

	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	被引频次：38[WOS] [WOS记录] [WOS相关记录]
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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