Coexistence in competition models with density-dependent mortality

Shigui Ruan, Ada Ardito, Paolo Ricciardi, Donald L DeAngelis

Research output: Contribution to journalArticle

47 Scopus citations

Abstract

We consider a two-competitor/one-prey model in which both competitors exhibit a general functional response and one of the competitors exhibits a density-dependent mortality rate. It is shown that the two competitors can coexist upon the single prey. As an example, we consider a two-competitor/one-prey model with a Holling II functional response. Our results demonstrate that density-dependent mortality in one of the competitors can prevent competitive exclusion. Moreover, by constructing a Liapunov function, the system has a globally stable positive equilibrium. To cite this article: S. Ruan et al., C. R. Biologies 330 (2007).

Original languageEnglish (US)
Pages (from-to)845-854
Number of pages10
JournalComptes Rendus - Biologies
Volume330
Issue number12
DOIs
StatePublished - Dec 1 2007

Keywords

  • Coexistence
  • Competition
  • Competitive exclusion
  • Density-dependent mortality
  • Functional response

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Developmental Biology

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