Global dynamics of microbial competition for two resources with internal storage

Bingtuan Li; Hal Smith

doi:10.1007/s00285-007-0092-8

Global dynamics of microbial competition for two resources with internal storage

Bingtuan Li, Hal Smith

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

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 language	English (US)
Pages (from-to)	481-515
Number of pages	35
Journal	Journal Of Mathematical Biology
Volume	55
Issue number	4
DOIs	https://doi.org/10.1007/s00285-007-0092-8
State	Published - Oct 1 2007

Keywords

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

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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AB - 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.

KW - Bi-stability

KW - Chemostat

KW - Coexistence

KW - Competition

KW - Competitive exclusion

KW - Essential resources

KW - Resource storage

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Global dynamics of microbial competition for two resources with internal storage

Abstract

Keywords

ASJC Scopus subject areas

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