Global dynamics of microbial competition for two resources with internal storage

Bingtuan Li, Hal Smith

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

We study a chemostat model that describes competition between two species for two essential resources based on storage. The model incorporates internal resource storage variables that serve the direct connection between species growth and external resource availability. Mathematical analysis for the global dynamics of the model is carried out by using the monotone dynamical system theory. It is shown that the limiting system of the model basically exhibits the familiar Lotka-Volterra alternatives: competitive exclusion, coexistence, and bi-stability, and most of these results can be carried over to the original model.

Original languageEnglish (US)
Pages (from-to)481-515
Number of pages35
JournalJournal of Mathematical Biology
Volume55
Issue number4
DOIs
StatePublished - Oct 2007

Fingerprint

microbial competition
Systems Theory
Global Dynamics
Internal
Resources
Growth
Monotone Dynamical System
Chemostat Model
Competitive Exclusion
Lotka-Volterra
competitive exclusion
Bistability
Chemostats
Mathematical Analysis
Coexistence
Model
dynamic models
System theory
Availability
Limiting

Keywords

  • Bi-stability
  • Chemostat
  • Coexistence
  • Competition
  • Competitive exclusion
  • Essential resources
  • Resource storage

ASJC Scopus subject areas

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

Cite this

Global dynamics of microbial competition for two resources with internal storage. / Li, Bingtuan; Smith, Hal.

In: Journal of Mathematical Biology, Vol. 55, No. 4, 10.2007, p. 481-515.

Research output: Contribution to journalArticle

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