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作者:

Liu, Shengqiang (Liu, Shengqiang.) | Liu, Zhuojun (Liu, Zhuojun.)

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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 permanence stage structure consumer-resources models necessary and sufficient conditions

作者机构:

  • [ 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

通讯作者信息:

  • [Liu, Shengqiang]Harbin Inst Technol, Ctr Sci Res, Harbin 150001, Peoples R China

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来源 :

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

ISSN: 0377-0427

年份: 2007

期: 2

卷: 201

页码: 381-388

2 . 4 0 0

JCR@2022

ESI学科: MATHEMATICS;

JCR分区:2

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 7

ESI高被引论文在榜: 0 展开所有

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