Bulletin of Mathematical Biology

, Volume 48, Issue 5–6, pp 493–508 | Cite as

Predator-prey systems with group defence: The paradox of enrichment revisited

  • H. I. Freedman
  • G. S. K. Wolkowicz


The main concern of this paper is with survival or extinction of predators in models of predator-prey systems exhibiting group defence of the prey. It is shown that if there is no mutual interference among predators, enrichment could result in their extinction. However, if there is mutual interference, the predator population survives (at least deterministically).


Periodic Orbit Homoclinic Orbit Positive Equilibrium Predator Population Mutual Interference 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Society for Mathematical Biology 1986

Authors and Affiliations

  • H. I. Freedman
    • 1
  • G. S. K. Wolkowicz
    • 2
  1. 1.Department of MathematicsUniversity of AlbertaEdmontonCanada
  2. 2.Department of Mathematics and Computer ScienceEmory UniversityAtlantaU.S.A.

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