Dynamics of a time-periodic and delayed reaction-diffusion model with a quiescent stage

doi:10.14232/ejqtde.2016.1.47

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	Dynamics of a time-periodic and delayed reaction-diffusion model with a quiescent stage
	Wang, Shuang-Ming; Zhang, Liang
	2016
发表期刊	ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
期号	47
摘要	In this paper, we study a time-periodic and delayed reaction-diffusion system with quiescent stage in both unbounded and bounded habitat domains. In unbounded habitat domain R, we first prove the existence of the asymptotic spreading speed and then show that it coincides with the minimal wave speed for monotone periodic traveling waves. In a bounded habitat domain Omega subset of R-N (N >= 1), we obtain the threshold result on the global attractivity of either the zero solution or the unique positive time-periodic solution of the system.
关键词	quiescent stage time-periodic delay spreading speed global attractivity
DOI	10.14232/ejqtde.2016.1.47
收录类别	SCI ; SCOPUS ; SCIE
ISSN	1417-3875
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000390776500001
出版者	UNIV SZEGED, BOLYAI INSTITUTE
原始文献类型	Article
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/1499
专题	教务处信息工程与人工智能学院
作者单位	1.Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730020, Gansu, Peoples R China; 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Wang, Shuang-Ming,Zhang, Liang. Dynamics of a time-periodic and delayed reaction-diffusion model with a quiescent stage[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS,2016(47).
APA	Wang, Shuang-Ming,&Zhang, Liang.(2016).Dynamics of a time-periodic and delayed reaction-diffusion model with a quiescent stage.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS(47).
MLA	Wang, Shuang-Ming,et al."Dynamics of a time-periodic and delayed reaction-diffusion model with a quiescent stage".ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS .47(2016).