Stability regions and transition phenomena for harvested predator-prey systems

Fred Brauer, A. C. Soudack

Research output: Contribution to journalArticle

84 Citations (Scopus)

Abstract

We analyze the global behaviour of a predator-prey system under constant-rate predator harvesting, showing how to classify the possibilities and determine the region of asymptotic stability by a combination of relatively elementary theoretical methods and computer simulations.

Original languageEnglish (US)
Pages (from-to)319-337
Number of pages19
JournalJournal of Mathematical Biology
Volume7
Issue number4
DOIs
StatePublished - Jan 1 1979
Externally publishedYes

Fingerprint

Predator prey systems
Stability Region
Predator-prey System
Harvesting
Predator
Asymptotic stability
Rate Constant
Computer Simulation
Asymptotic Stability
Classify
predators
Computer simulation
computer simulation
methodology

Keywords

  • Harvesting
  • Predator-prey systems

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Mathematics (miscellaneous)

Cite this

Stability regions and transition phenomena for harvested predator-prey systems. / Brauer, Fred; Soudack, A. C.

In: Journal of Mathematical Biology, Vol. 7, No. 4, 01.01.1979, p. 319-337.

Research output: Contribution to journalArticle

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