Competition in an n-vessel gradostat

Hal Smith; Betty Tang; Paul Waltman

doi:10.1137/0151072

Competition in an n-vessel gradostat

Hal Smith, Betty Tang, Paul Waltman

Mathematical and Statistical Sciences, School of (SoMSS)

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

25 Scopus citations

Abstract

A mathematical model of the exploitative competition between two microbial species in a general multivessel gradostat is considered. Sufficient conditions for the two species to coexist in the gradostat are derived using the theory of monotone dynamical systems and global bifurcation theory. Numerical computations required to verify the hypotheses of the coexistence results suggest that coexistence is more likely as the number of vessels increases.

Original language	English (US)
Pages (from-to)	1451-1471
Number of pages	21
Journal	SIAM Journal on Applied Mathematics
Volume	51
Issue number	5
DOIs	https://doi.org/10.1137/0151072
State	Published - Jan 1 1991

ASJC Scopus subject areas

Applied Mathematics

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abstract = "A mathematical model of the exploitative competition between two microbial species in a general multivessel gradostat is considered. Sufficient conditions for the two species to coexist in the gradostat are derived using the theory of monotone dynamical systems and global bifurcation theory. Numerical computations required to verify the hypotheses of the coexistence results suggest that coexistence is more likely as the number of vessels increases.",

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AB - A mathematical model of the exploitative competition between two microbial species in a general multivessel gradostat is considered. Sufficient conditions for the two species to coexist in the gradostat are derived using the theory of monotone dynamical systems and global bifurcation theory. Numerical computations required to verify the hypotheses of the coexistence results suggest that coexistence is more likely as the number of vessels increases.

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Competition in an n-vessel gradostat

Abstract

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