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Abstract:
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.
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN: 0377-0427
Year: 2007
Issue: 2
Volume: 201
Page: 381-388
2 . 4 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
JCR Journal Grade:2
Cited Count:
WoS CC Cited Count: 2
SCOPUS Cited Count: 7
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 2
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