Competition in an n-vessel gradostat

Hal Smith, Betty Tang, Paul Waltman

Research output: Contribution to journalArticle

22 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)1451-1471
Number of pages21
JournalSIAM Journal on Applied Mathematics
Volume51
Issue number5
StatePublished - Oct 1991

Fingerprint

Bifurcation (mathematics)
Coexistence
Vessel
Dynamical systems
Monotone Dynamical System
Mathematical models
Global Bifurcation
Bifurcation Theory
Numerical Computation
Likely
Mathematical Model
Verify
Sufficient Conditions

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Smith, H., Tang, B., & Waltman, P. (1991). Competition in an n-vessel gradostat. SIAM Journal on Applied Mathematics, 51(5), 1451-1471.

Competition in an n-vessel gradostat. / Smith, Hal; Tang, Betty; Waltman, Paul.

In: SIAM Journal on Applied Mathematics, Vol. 51, No. 5, 10.1991, p. 1451-1471.

Research output: Contribution to journalArticle

Smith, H, Tang, B & Waltman, P 1991, 'Competition in an n-vessel gradostat', SIAM Journal on Applied Mathematics, vol. 51, no. 5, pp. 1451-1471.
Smith, Hal ; Tang, Betty ; Waltman, Paul. / Competition in an n-vessel gradostat. In: SIAM Journal on Applied Mathematics. 1991 ; Vol. 51, No. 5. pp. 1451-1471.
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