Qualitative behavior of a variable-yield simple food chain with an inhibiting nutrient

S. R.J. Jang, J. Baglama

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

A simple food chain which consists of nutrient, prey and predator in which nutrient is growth limiting at low concentrations but growth inhibiting at high concentrations is investigated in this study. It is assumed that the nutrient concentration is separated into internal and external nutrient concentration and only the internal nutrient level is capable of catalyzing cell growth. It is shown that the dynamics of the system depend on thresholds R0 and R1. With inhibition, there exist initial conditions for which the predator becomes extinct but not the prey when R0 < 1. If R0, R1 > 1, the system is uniformly persistent even in the inhibited environment. (C) 2000 Elsevier Science Inc.

Original languageEnglish
Pages (from-to)65-80
Number of pages16
JournalMathematical Biosciences
Volume164
Issue number1
DOIs
StatePublished - Mar 2000

Keywords

  • Cell-quota
  • Inhibition
  • Threshold
  • Uniform persistence

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