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题名: Dynamics of a time-periodic and delayed reaction-diffusion model with a quiescent stage
作者: Wang, SM; Zhang, L
收录类别: SCIE
出版日期: 2016
刊名: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
期号: 2-16
出版者: UNIV SZEGED
出版地: SZEGED
英文摘要: 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
作者部门: [Wang, Shuang-Ming] Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730020, Gansu, Peoples R China ; [Zhang, Liang] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
通讯作者: Wang, SM (reprint author), Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730020, Gansu, Peoples R China.
学科分类: Mathematics
文章类型: Article
所属项目编号: Fundamental Research Funds for the Central Universities [lzujbky-2015-210]
所属项目名称: 中央高校基本科研业务费专项资金
项目资助者: LZU
语种: 英语
DOI: 10.14232/ejqtde.2016.1.47
ISSN号: 1417-3875
WOS记录号: WOS:000390776500001
IR记录号: WOS:000390776500001
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内容类型: 期刊论文
URI标识: http://ir.lzu.edu.cn/handle/262010/189076
Appears in Collections:数学与统计学院_期刊论文

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Recommended Citation:
Wang, SM,Zhang, L. Dynamics of a time-periodic and delayed reaction-diffusion model with a quiescent stage[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS,2016(2-16).
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