On constant effort harvesting and stocking in a class of predator-prey systems

F. Brauer, A. C. Soudack

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

We analyze the global behaviour of predator-prey systems under constant effort harvesting and stocking of either or both species. Mathematically this is equivalent to the behaviour of an unharvested system with different parameters; in particular every solution tends either to an equilibrium or to a limit cycle, and there is no possibility of finite-time extinction of either species if both populations are positive initially. The dependence of the behaviour on the harvesting efforts is discussed.

Original languageEnglish (US)
Pages (from-to)247-252
Number of pages6
JournalJournal of Theoretical Biology
Volume95
Issue number2
DOIs
StatePublished - Mar 21 1982
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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