Traveling waves in a bio-reactor model

Hal Smith, Xiao Qiang Zhao

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

The existence of a family of traveling waves is established for a parabolic system modeling single species growth in a plug flow reactor, proving a conjecture of Kennedy and Aris (Bull. Math. Biol. 42 (1980) 397) for a similar system. The proof uses phase plane analysis, geometric singular perturbation theory and the center manifold theorem.

Original languageEnglish (US)
Pages (from-to)895-909
Number of pages15
JournalNonlinear Analysis: Real World Applications
Volume5
Issue number5
DOIs
StatePublished - Dec 2004

Fingerprint

Geometric Singular Perturbation Theory
Phase Plane Analysis
Center Manifold Theorem
Bioreactor
Parabolic Systems
System Modeling
Traveling Wave
Reactor
Model
Family
System modeling
Traveling wave
Singular perturbation theory

Keywords

  • Bio-reactor model
  • Center manifold theorem
  • Heteroclinic orbit
  • Singular perturbation theory
  • Traveling waves

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Traveling waves in a bio-reactor model. / Smith, Hal; Zhao, Xiao Qiang.

In: Nonlinear Analysis: Real World Applications, Vol. 5, No. 5, 12.2004, p. 895-909.

Research output: Contribution to journalArticle

Smith, Hal ; Zhao, Xiao Qiang. / Traveling waves in a bio-reactor model. In: Nonlinear Analysis: Real World Applications. 2004 ; Vol. 5, No. 5. pp. 895-909.
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