Coexistence properties of some predator-prey systems under constant rate harvesting and stocking

F. Brauer, A. C. Soudack

Research output: Contribution to journalArticlepeer-review

82 Scopus citations

Abstract

The global behaviour of a class of predator-prey systems, modelled by a pair of non-linear ordinary differential equations, under constant rate harvesting and/or stocking of both species, is presented. Theoretically possible structures and transitions are developed and validated by computer simulations. The results are presented as transition loci in the F-G (prey harvest rate-predator harvest rate) plane.

Original languageEnglish (US)
Pages (from-to)101-114
Number of pages14
JournalJournal Of Mathematical Biology
Volume12
Issue number1
DOIs
StatePublished - May 1982
Externally publishedYes

Keywords

  • Harvesting
  • Predator-prey systems
  • Stability

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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