Journal of Mathematical Biology

, Volume 7, Issue 4, pp 319–337

Stability regions and transition phenomena for harvested predator-prey systems

  • F. Brauer
  • A. C. Soudack


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.

Key words

Predator-prey systems Harvesting 


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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • F. Brauer
    • 1
  • A. C. Soudack
    • 2
  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA
  2. 2.Department of Electrical EngineeringUniversity of British ColumbiaVancouverCanada

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