Traveling wave solutions in a two-group SIR epidemic model with constant recruitment

doi:10.1007/s00285-018-1227-9

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	Traveling wave solutions in a two-group SIR epidemic model with constant recruitment
	Zhao, Lin 1,2; Wang, Zhi-Cheng 1; Ruan, Shigui 3
刊名	JOURNAL OF MATHEMATICAL BIOLOGY
	2018-12
卷号	77 期号:6-7 页码:1871-1915
关键词	Two-group epidemic model Basic reproduction number Time delay Constant recruitment Traveling wave solutions
ISSN号	0303-6812
DOI	10.1007/s00285-018-1227-9
英文摘要	Host heterogeneity can be modeled by using multi-group structures in the population. In this paper we investigate the existence and nonexistence of traveling waves of a two-group SIR epidemic model with time delay and constant recruitment and show that the existence of traveling waves is determined by the basic reproduction number there exists a minimal wave speed such that for each there exists no nontrivial traveling wave satisfying the system; (ii) when the system admits no nontrivial traveling waves. Finally, we present some numerical simulations to show the existence of traveling waves of the system.
资助项目	NSF[DMS-1412454]
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000451760500009
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32310]
专题	理学院材料科学与工程学院
通讯作者	Ruan, Shigui
作者单位	1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China 3.Univ Miami, Dept Math, Coral Gables, FL 33146 USA
推荐引用方式 GB/T 7714	Zhao, Lin,Wang, Zhi-Cheng,Ruan, Shigui. Traveling wave solutions in a two-group SIR epidemic model with constant recruitment[J]. JOURNAL OF MATHEMATICAL BIOLOGY,2018,77(6-7):1871-1915.
APA	Zhao, Lin,Wang, Zhi-Cheng,&Ruan, Shigui.(2018).Traveling wave solutions in a two-group SIR epidemic model with constant recruitment.JOURNAL OF MATHEMATICAL BIOLOGY,77(6-7),1871-1915.
MLA	Zhao, Lin,et al."Traveling wave solutions in a two-group SIR epidemic model with constant recruitment".JOURNAL OF MATHEMATICAL BIOLOGY 77.6-7(2018):1871-1915.