Positive periodic solution of a general discrete non-autonomous difference system of plankton allelopathy with delays

doi:10.1016/j.cam.2005.09.023

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	Positive periodic solution of a general discrete non-autonomous difference system of plankton allelopathy with delays
	Liu, Zhijun ; Chen, Lansun
	2006-12-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	197 期号:2 页码:446-456
摘要	The main purpose of this paper is to investigate a discrete time non-autonomous difference system of plankton allelopathy with delays. By employing continuous theorem proposed by Gains and Mawhin and some new techniques, a set of verifiable sufficient criteria are established for the existence of at least one strictly positive (componentwise) periodic solution, and as an application, we also examine some special case, showing that these conditions are similar to those of continuous differential system. It is also shown that the time delays are harmless for the existence of positive periodic solutions of system. (c) 2005 Elsevier B.V. All rights reserved.
关键词	positive periodic solution discrete model plankton ecology allelopathy time delay
DOI	10.1016/j.cam.2005.09.023
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000241085400012
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2866
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Zhijun
作者单位	1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R China 2.Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China 3.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Zhijun,Chen, Lansun. Positive periodic solution of a general discrete non-autonomous difference system of plankton allelopathy with delays[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2006,197(2):446-456.
APA	Liu, Zhijun,&Chen, Lansun.(2006).Positive periodic solution of a general discrete non-autonomous difference system of plankton allelopathy with delays.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,197(2),446-456.
MLA	Liu, Zhijun,et al."Positive periodic solution of a general discrete non-autonomous difference system of plankton allelopathy with delays".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 197.2(2006):446-456.