Traveling waves in a bio-reactor model

Hal Smith; Xiao Qiang Zhao

doi:10.1016/j.nonrwa.2004.05.001

Traveling waves in a bio-reactor model

Hal Smith, Xiao Qiang Zhao

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

29 Scopus citations

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 language	English (US)
Pages (from-to)	895-909
Number of pages	15
Journal	Nonlinear Analysis: Real World Applications
Volume	5
Issue number	5
DOIs	https://doi.org/10.1016/j.nonrwa.2004.05.001
State	Published - Dec 2004

Keywords

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

ASJC Scopus subject areas

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

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10.1016/j.nonrwa.2004.05.001

Cite this

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title = "Traveling waves in a bio-reactor model",

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.",

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AB - 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.

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KW - Heteroclinic orbit

KW - Singular perturbation theory

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Traveling waves in a bio-reactor model

Abstract

Keywords

ASJC Scopus subject areas

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