Simple Food Chain in a Chemostat with Distinct Removal Rates

Bingtuan Li, Yang Kuang

Research output: Contribution to journalArticle

50 Scopus citations

Abstract

In this paper, we consider a model describing predator-prey interactions in a chemostat that incorporates both general response functions and distinct removal rates. In this case, the conservation law fails. To overcome this difficulty, we make use of a novel way of constructing a Lyapunov function in the study of the global stability of a predator-free steady state. Local and global stability of other steady states, persistence analysis, as well as numerical simulations are also presented. Our findings are largely in line with those of an identical removal rate case.

Original languageEnglish (US)
Pages (from-to)75-92
Number of pages18
JournalJournal of Mathematical Analysis and Applications
Volume242
Issue number1
DOIs
StatePublished - Feb 1 2000

Keywords

  • Chemostat; predator; prey; food chain; persistence

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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