THRESHOLD DYNAMICS OF A TIME PERIODIC AND TWO GROUP EPIDEMIC MODEL WITH DISTRIBUTED DELAY

doi:10.3934/mbe.2017080

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	THRESHOLD DYNAMICS OF A TIME PERIODIC AND TWO GROUP EPIDEMIC MODEL WITH DISTRIBUTED DELAY
	Zhao, Lin 1,2; Wang, Zhi-Cheng 1; Zhang, Liang 1
刊名	MATHEMATICAL BIOSCIENCES AND ENGINEERING
	2017-10-01
卷号	14 期号:5-6 页码:1535-1563
关键词	Two-group epidemic model time periodic distributed delay threshold dynamics Lyapunov functional
ISSN号	1547-1063
DOI	10.3934/mbe.2017080
英文摘要	In this paper, a time periodic and two-group reaction-diffusion epidemic model with distributed delay is proposed and investigated. We firstly introduce the basic reproduction number R-0 for the model via the next generation operator method. We then establish the threshold dynamics of the model in terms of R-0, that is, the disease is uniformly persistent if R-0 > 1, while the disease goes to extinction if R-0 < 1. Finally, we study the global dynamics for the model in a special case when all the coefficients are independent of spatio-temporal variables.
资助项目	NNSF of China[11371179]
WOS研究方向	Mathematical & Computational Biology
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000402555000026
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/33083]
专题	理学院材料科学与工程学院
通讯作者	Wang, Zhi-Cheng
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
推荐引用方式 GB/T 7714	Zhao, Lin,Wang, Zhi-Cheng,Zhang, Liang. THRESHOLD DYNAMICS OF A TIME PERIODIC AND TWO GROUP EPIDEMIC MODEL WITH DISTRIBUTED DELAY[J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING,2017,14(5-6):1535-1563.
APA	Zhao, Lin,Wang, Zhi-Cheng,&Zhang, Liang.(2017).THRESHOLD DYNAMICS OF A TIME PERIODIC AND TWO GROUP EPIDEMIC MODEL WITH DISTRIBUTED DELAY.MATHEMATICAL BIOSCIENCES AND ENGINEERING,14(5-6),1535-1563.
MLA	Zhao, Lin,et al."THRESHOLD DYNAMICS OF A TIME PERIODIC AND TWO GROUP EPIDEMIC MODEL WITH DISTRIBUTED DELAY".MATHEMATICAL BIOSCIENCES AND ENGINEERING 14.5-6(2017):1535-1563.