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

DOI: 10.1007/BF00275152

Cite this article as:
Brauer, F. & Soudack, A.C. J. Math. Biol. (1979) 7: 319. doi:10.1007/BF00275152


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 systemsHarvesting

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