Traveling waves in a bio-reactor model

Hal Smith, Xiao Qiang Zhao

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


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
Issue number5
StatePublished - Dec 2004


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

ASJC Scopus subject areas

  • Analysis
  • General Engineering
  • Economics, Econometrics and Finance(all)
  • Computational Mathematics
  • Applied Mathematics


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