Competitive exclusion in a discrete-time, size-structured chemostat model

Hal Smith; X. Q. Zmao

doi:10.3934/dcdsb.2001.1.183

Competitive exclusion in a discrete-time, size-structured chemostat model

Hal Smith, X. Q. Zmao

Mathematical and Statistical Sciences, School of (SoMSS)

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

28 Scopus citations

Abstract

Competitive exclusion is proved for a discrete-time, size-structured, nonlinear matrix model of m-species competition in the chemostat. The winner is the population able to grow at the lowest nutrient concentration. This extends the results of earlier work of the first author [11] where the case m = 2 was treated.

Original language	English (US)
Pages (from-to)	183-191
Number of pages	9
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	1
Issue number	2
DOIs	https://doi.org/10.3934/dcdsb.2001.1.183
State	Published - 2001

Keywords

Chemostat
Competitive exclusion
Discrete-time
Size-structured model

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcdsb.2001.1.183

Cite this

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abstract = "Competitive exclusion is proved for a discrete-time, size-structured, nonlinear matrix model of m-species competition in the chemostat. The winner is the population able to grow at the lowest nutrient concentration. This extends the results of earlier work of the first author [11] where the case m = 2 was treated.",

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KW - Size-structured model

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Competitive exclusion in a discrete-time, size-structured chemostat model

Abstract

Keywords

ASJC Scopus subject areas

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