Competition in the gradostat

the role of the communication rate

Hal Smith, Betty Tang

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In this paper we study a mathematical model of competition between two species of microorganisms for a single limiting nutrient in a laboratory device called a gradostat. A gradostat consists of several (we consider only two) chemostats (CSTR's) connected together so that material can flow between the vessels in such a way that a nutrient gradient is established. Our model is a slightly modified version of one considered recently by Jäger et al. [3], in that the rate of exchange of material between the two vessels (the communication rate) is allowed to differ from the dilution rate. The outcome of competition turns out to be surprisingly sensitive to variation of the communication rate. We identify several coexistence regimes in parameter space and describe a method for obtaining "operating diagrams" for given pairs of competing microorganisms.

Original languageEnglish (US)
Pages (from-to)139-165
Number of pages27
JournalJournal of Mathematical Biology
Volume27
Issue number2
DOIs
StatePublished - Apr 1989

Fingerprint

Microorganisms
Nutrients
Vessel
Chemostats
microorganisms
Chemostat
Food
Communication
nutrients
Coexistence
Dilution
Parameter Space
Theoretical Models
mathematical models
Diagram
Limiting
Mathematical Model
Mathematical models
Gradient
Equipment and Supplies

Keywords

  • Chemostat
  • Coexistence
  • Competition
  • Cooperative system
  • Gradostat
  • Monotone dynamical system

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Agricultural and Biological Sciences (miscellaneous)

Cite this

Competition in the gradostat : the role of the communication rate. / Smith, Hal; Tang, Betty.

In: Journal of Mathematical Biology, Vol. 27, No. 2, 04.1989, p. 139-165.

Research output: Contribution to journalArticle

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