Microbial competition for nutrient and wall sites in plug flow

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

A mathematical model of microbial competition for limiting nutrients and for a limited set of available wall-attachment sites in an advection-dominated tubular reactor is formulated as a limiting case of the more general model considered in [M. Ballyk and H.L. Smith, A flow reactor with wall growth, in Mathematical Models in Medical and Health Sciences, M. Horn, G. Simonett, and G. Webb, eds., Vanderbilt University Press, Nashville, TN, 1998]. The model consists of a system of hyperbolic PDE. The existence and stability properties of its steady state solutions are investigated, both analytically and numerically. A surprising finding in the case of two-strain competition is the existence of a steady state solution characterized by the segregation of the two bacterial strains to separate nonoverlapping segments along the tubular reactor.

Original languageEnglish (US)
Pages (from-to)1576-1600
Number of pages25
JournalSIAM Journal on Applied Mathematics
Volume60
Issue number5
StatePublished - May 2000

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Nutrients
Reactor
Steady-state Solution
Mathematical models
Advection
Limiting
Mathematical Model
Hyperbolic PDEs
Health
Segregation
Model

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Microbial competition for nutrient and wall sites in plug flow. / Jones, Donald; Smith, Hal.

In: SIAM Journal on Applied Mathematics, Vol. 60, No. 5, 05.2000, p. 1576-1600.

Research output: Contribution to journalArticle

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