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论文类型：期刊论文

发表时间：2008-12-01

发表刊物：APPLIED MATHEMATICS AND COMPUTATION

收录刊物：SCIE、EI、Scopus

卷号：206

期号：1

页面范围：389-402

ISSN号：0096-3003

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

摘要：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.