Threshold dynamics of a time periodic and two-group epidemic model with distributed delay

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	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
	2017-12-01
关键词	Cell proliferation Dynamics Lyapunov functions Distributed delays Epidemic modeling Lyapunov functionals Threshold dynamics Time periodic
卷号	14
期号	5-6
DOI	10.3934/mbe.2017080
页码	1535-1563
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 R0 for the model via the next generation operator method. We then establish the threshold dynamics of the model in terms of R0, that is, the disease is uniformly persistent if R0 > 1, while the disease goes to extinction if R0
会议录	Mathematical Biosciences and Engineering
会议录出版者	Arizona State University
语种	英语
ISSN号	15471063
WOS研究方向	Mathematical & Computational Biology
WOS记录号	WOS:000402555000026
内容类型	会议论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/118103]
专题	理学院
作者单位	1.School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu; 730000, China; 2.Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu; 730050, 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[C]. 见:.