Coexistence properties of some predator-prey systems under constant rate harvesting and stocking Article Revised: 07 November 1980 DOI:
Cite this article as: Brauer, F. & Soudack, A.C. J. Math. Biol. (1982) 12: 101. doi:10.1007/BF00275206 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.
Key words Predator-prey systems Harvesting Stability
Sponsored by the United States Army under Contract No. DAAG29-80-C-0041 and in part by NSERC of Canada, Grant No. 67-3138
The authors wish to thank Mr. Al MacKenzie of the Department of Electrical Engineering, University of British Columbia, for preparing the figures in this paper.
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