Dynamics for an SIRS epidemic model with infection age and relapse on a scale-free network

doi:10.1016/j.jfranklin.2019.03.034

	Dynamics for an SIRS epidemic model with infection age and relapse on a scale-free network
	Huo, Hai-Feng; Yang, Peng; Xiang, Hong
	2019-09
发表期刊	JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN	0016-0032
卷号	356 期号:13 页码:7411-7443
摘要	A new SIRS epidemic model with infection age and relapse on a scale-free network is introduced. The basic reproduction number R-0 is defined. Asymptotic smoothness of solution and uniform persistence of system are proved. It is shown that the disease-free equilibrium is globally asymptotically stable by using Fluctuation Lemma if R-0 < 1 and the endemic equilibrium is globally asymptotically stable by constructing suitable Lyapunov functional if R-0 > 1. Effects of two immunization schemes are studied. Numerical simulations and sensitivity analysis are performed. Results manifest that infection age and degree of node play a significant role in controlling the emergence and spread of the epidemic disease. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
关键词	Cell proliferation Lyapunov functions Sensitivity analysis Basic reproduction number Disease-free equilibrium Endemic equilibrium Fluctuation lemma Globally asymptotically stable Lyapunov functionals SIRS epidemic model Uniform persistence
DOI	10.1016/j.jfranklin.2019.03.034
收录类别	SCI ; SCIE
语种	英语
资助项目	NNSF of China[11861044][11661050]
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000480435900028
出版者	PERGAMON-ELSEVIER SCIENCE LTD
EI入藏号	20192807171956
EI主题词	Epidemiology
EI分类号	461.7 Health Care - 461.9 Biology - 921 Mathematics
引用统计	被引频次：22[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/31586
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. Dynamics for an SIRS epidemic model with infection age and relapse on a scale-free network[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2019,356(13):7411-7443.
APA	Huo, Hai-Feng,Yang, Peng,&Xiang, Hong.(2019).Dynamics for an SIRS epidemic model with infection age and relapse on a scale-free network.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,356(13),7411-7443.
MLA	Huo, Hai-Feng,et al."Dynamics for an SIRS epidemic model with infection age and relapse on a scale-free network".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 356.13(2019):7411-7443.

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