Stability regions in predator-prey systems with constant-rate prey harvesting

F. Brauer, A. C. Soudack

Research output: Contribution to journalArticle

99 Scopus citations

Abstract

We analyze the global behavior of a predator-prey system, modelled by a pair of non-linear ordinary differential equations, under constant-rate prey harvesting. By methods analogous to those used to study predator harvesting, we characterize the theoretically possible structures and transitions. With the aid of a computer simulation we construct examples to show which of these transitions can be realized in a biologically plausible model.

Original languageEnglish (US)
Pages (from-to)55-71
Number of pages17
JournalJournal Of Mathematical Biology
Volume8
Issue number1
DOIs
StatePublished - Jul 1979
Externally publishedYes

Keywords

  • Catastrophes
  • Predator-prey systems
  • Stability

ASJC Scopus subject areas

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

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