Dynamics of a Periodically Pulsed Bio-reactor Model

Hal Smith, Xiao Qiang Zhao

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

Global attractivity and uniform persistence are established for both single species growth and two species competition in a periodically pulsed bio-reactor model in terms of principal eigenvalues of the periodic-parabolic eigenvalue problem by appealing to the theories of monotone discrete dynamical systems, abstract persistence, asymptotically periodic semiflows, and perturbation of global attractors.

Original languageEnglish (US)
Pages (from-to)368-404
Number of pages37
JournalJournal of Differential Equations
Volume155
Issue number2
StatePublished - Jul 1 1999

Fingerprint

Bioreactor
Dynamical systems
Monotone Dynamical System
Uniform Persistence
Principal Eigenvalue
Semiflow
Global Attractivity
Discrete Dynamical Systems
Global Attractor
Parabolic Problems
Persistence
Eigenvalue Problem
Perturbation
Model

Keywords

  • Global attractivity
  • Positive periodic solutions
  • Principal eigenvalues
  • Uniform persistence

ASJC Scopus subject areas

  • Analysis

Cite this

Dynamics of a Periodically Pulsed Bio-reactor Model. / Smith, Hal; Zhao, Xiao Qiang.

In: Journal of Differential Equations, Vol. 155, No. 2, 01.07.1999, p. 368-404.

Research output: Contribution to journalArticle

Smith, Hal ; Zhao, Xiao Qiang. / Dynamics of a Periodically Pulsed Bio-reactor Model. In: Journal of Differential Equations. 1999 ; Vol. 155, No. 2. pp. 368-404.
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