Permanence and Stability of a Kill the Winner Model in Marine Ecology

Daniel A. Korytowski, Hal Smith

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We focus on the long-term dynamics of “killing the winner” Lotka–Volterra models of marine communities consisting of bacteria, virus, and zooplankton. Under suitable conditions, it is shown that there is a unique equilibrium with all populations present which is stable, the system is permanent, and the limiting behavior of its solutions is strongly constrained.

Original languageEnglish (US)
Pages (from-to)995-1004
Number of pages10
JournalBulletin of Mathematical Biology
Volume79
Issue number5
DOIs
StatePublished - May 1 2017

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Keywords

  • Bacteria
  • Infection network
  • Kill the winner
  • Lotka–Volterra system
  • Parasite-mediated coexistence
  • Permanence
  • Virus
  • Zooplankton

ASJC Scopus subject areas

  • Neuroscience(all)
  • Immunology
  • Mathematics(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Pharmacology
  • Environmental Science(all)
  • Agricultural and Biological Sciences(all)
  • Computational Theory and Mathematics

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