Permanence of general stage-structured consumer-resource models

doi:10.1016/j.cam.2005.12.038

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	Permanence of general stage-structured consumer-resource models
	Liu, Shengqiang ; Liu, Zhuojun
	2007-04-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	201 期号:2 页码:381-388
摘要	Much of the existing stage-structured consumer models ignore the permanence. I it this paper. we consider the permanence for a series of staged-structured consumer-resource models with the function response of so-called "prey-dependence" (resource dependence) type. We show that the systems are permanent, if and only if the adult consumer's recruitment rate at the peak of resource abundance is more than its death rate. Our results indicate that the large consumer's maturation time delay will directly lead to its extinction. Furthermore, our arguments for the main results give a light for permanence in the general stage-structured consumer-resource Systems. (c) 2006 Elsevier B.V. All rights reserved.
关键词	time delays stage structure permanence consumer-resources models necessary and sufficient conditions
DOI	10.1016/j.cam.2005.12.038
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000244581100009
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/4223
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Shengqiang
作者单位	1.Harbin Inst Technol, Ctr Sci Res, Harbin 150001, Peoples R China 2.Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Shengqiang,Liu, Zhuojun. Permanence of general stage-structured consumer-resource models[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2007,201(2):381-388.
APA	Liu, Shengqiang,&Liu, Zhuojun.(2007).Permanence of general stage-structured consumer-resource models.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,201(2),381-388.
MLA	Liu, Shengqiang,et al."Permanence of general stage-structured consumer-resource models".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 201.2(2007):381-388.