Dynamics of a Periodically Pulsed Bio-reactor Model

Hal Smith, Xiao Qiang Zhao

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


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
Issue number2
StatePublished - Jul 1 1999


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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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