Intraspecific interference and consumer-resource dynamics

Research output: Contribution to journalArticle

44 Scopus citations

Abstract

In this paper we first consider a two consumer-one resource model with one of the consumer species exhibits intraspecific feeding interference but there is no interspecific competition between the two consumer species. We assume that one consumer species exhibits Holling II functional response while the other consumer species exhibits Beddington-DeAngelis functional response. Using dynamical systems theory, it is shown that the two consumer species can coexist upon the single limiting resource in the sense of uniform persistence. Moreover, by constructing a Liapunov function it is shown that the system has a globally stable positive equilibrium. Second, we consider a model with an arbitrary number of consumers and one single limiting resource. By employing practical persistence techniques, it is shown that multiple consumer species can coexist upon a single resource as long as all consumers exhibit sufficiently strong conspecific interference, that is, each of them exhibits Beddington-DeAngelis functional response.

Original languageEnglish (US)
Pages (from-to)527-546
Number of pages20
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume4
Issue number3
DOIs
StatePublished - Aug 2004

Keywords

  • Coexistence
  • Competition
  • Persistence
  • Predators interference
  • Stability

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Intraspecific interference and consumer-resource dynamics'. Together they form a unique fingerprint.

  • Cite this