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Permanence of general stage-structured consumer-resource models

文献类型：期刊论文

作者Liu, Shengqiang; Liu, Zhuojun
刊名JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
出版日期2007-04-15
卷号201期号:2页码:381-388
关键词time delays stage structure permanence consumer-resources models necessary and sufficient conditions
ISSN号0377-0427
DOI10.1016/j.cam.2005.12.038
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000244581100009
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/4222]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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