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Indexed by:期刊论文

Date of Publication:2008-12-01

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI、Scopus

Volume:206

Issue:1

Page Number:389-402

ISSN No.:0096-3003

Key Words:Chemostat; Food chain; Reaction-diffusion system; Fixed point index; Maximum principle; Global bifurcation; Coexistence; Persistence; Extinction

Abstract:This paper deals with a multiple food chain model in un-stirred chemostat, where the prey feeds on two growth-limiting, nonreproducing resources. The conditions for existence of positive steady states are established. The global bifurcation of positive solutions is considered also. Furthermore, we obtain the conditions under which the predator possesses uniformly strong persistence or goes to extinction. The techniques used in this paper include the degree theory, the global bifurcation theory, the semigroup theory, and the maximum principle. (c) 2008 Elsevier Inc. All rights reserved.