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

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Abstract

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).

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Author notes

  1. G. S. K. Wolkowicz

    Present address: Division of Applied Mathematics, Brown University, 02912, Providence, RI, U.S.A.

Authors and Affiliations

  1. Department of Mathematics, University of Alberta, T6G 2G1, Edmonton, Canada

    H. I. Freedman

  2. Department of Mathematics and Computer Science, Emory University, 30322, Atlanta, GA, U.S.A.

    G. S. K. Wolkowicz

Authors
  1. H. I. Freedman
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  2. G. S. K. Wolkowicz
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Additional information

Research partially supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. NSERC A 4823.

Research partially supported by a Natural Sciences and Engineering Research Council of Canada postdoctoral fellowship.

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Freedman, H.I., Wolkowicz, G.S.K. Predator-prey systems with group defence: The paradox of enrichment revisited. Bltn Mathcal Biology 48, 493–508 (1986). https://doi.org/10.1007/BF02462320

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  • DOI: https://doi.org/10.1007/BF02462320

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