Asymptotic periodicity of the Volterra equation with infinite delay

doi:10.1016/j.na.2006.10.050

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	Asymptotic periodicity of the Volterra equation with infinite delay
	Wang, Jinliang ; Zhou, Li ; Tang, Yanbin
	2008-01-15
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	68 期号:2 页码:315-328
文章类型	Article
摘要	For some species, hereditary factors have great effects on their population evolution, which can be described by the well-known Volterra model. A model developed is investigated in this article, considering the seasonal variation of the environment, where the diffusive effect of the population is also considered. The main approaches employed here are the upper-lower solution method and the monotone iteration technique. The results show that whether the species dies out or not depends on the relations among the birth rate, the death rate, the competition rate, the diffusivity and the hereditary effects. The evolution of the population may show asymptotic periodicity, provided a certain condition is satisfied for the above factors. (c) 2006 Elsevier Ltd. All rights reserved.; For some species, hereditary factors have great effects on their population evolution, which can be described by the well-known Volterra model. A model developed is investigated in this article, considering the seasonal variation of the environment, where the diffusive effect of the population is also considered. The main approaches employed here are the upper-lower solution method and the monotone iteration technique. The results show that whether the species dies out or not depends on the relations among the birth rate, the death rate, the competition rate, the diffusivity and the hereditary effects. The evolution of the population may show asymptotic periodicity, provided a certain condition is satisfied for the above factors. (c) 2006 Elsevier Ltd. All rights reserved.
关键词	Volterra Asymptotic Periodicity Delay Existence Uniqueness
学科领域	Mathematics, Applied ; Mathematics
DOI	10.1016/j.na.2006.10.050
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000251536300007
引用统计	被引频次：7[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/5232
专题	海洋环流与波动重点实验室
作者单位	1.Chinese Acad Sci, Inst Oceanol, Ocean Current & Wave Lab, Qingdao 266071, Peoples R China 2.Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Wang, Jinliang,Zhou, Li,Tang, Yanbin. Asymptotic periodicity of the Volterra equation with infinite delay[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2008,68(2):315-328.
APA	Wang, Jinliang,Zhou, Li,&Tang, Yanbin.(2008).Asymptotic periodicity of the Volterra equation with infinite delay.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,68(2),315-328.
MLA	Wang, Jinliang,et al."Asymptotic periodicity of the Volterra equation with infinite delay".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 68.2(2008):315-328.

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