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Mathematical Biosciences and Engineering

2005, Volume 2, Issue 2: 279-288. doi: 10.3934/mbe.2005.2.279
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The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation

  • 1.
    Department of Mathematics, Providence College, Providence, Rhode Island 02918
  • 2.
    Department of Mathematics, College of William and Mary, P.O. Box 8795, Williamsburg, VA 23187-8795
  • Received: 01 October 2004 Accepted: 29 June 2018 Published: 01 March 2005

  • MSC : 92D40.

  • Intraguild predation occurs when one species (the intraguild predator) predates on and competes with another species (the intraguild prey). A classic model of this interaction was introduced by Gary Polis and Robert Holt building on a model of competing species by Thomas Schoener. A global analysis reveals that this model exhibits generically six dynamics: extinction of one or both species; coexistence about a globally stable equilibrium; contingent exclusion in which the first established species prevents the establishment of the other species; contingent coexistence in which coexistence or displacement of the intraguild prey depend on initial conditions; exclusion of the intraguild prey; and exclusion of the intraguild predator. Implications for biological control and community ecology are discussed.

    Citation: Eric Ruggieri, Sebastian J. Schreiber. The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation[J]. Mathematical Biosciences and Engineering, 2005, 2(2): 279-288. doi: 10.3934/mbe.2005.2.279

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  • Intraguild predation occurs when one species (the intraguild predator) predates on and competes with another species (the intraguild prey). A classic model of this interaction was introduced by Gary Polis and Robert Holt building on a model of competing species by Thomas Schoener. A global analysis reveals that this model exhibits generically six dynamics: extinction of one or both species; coexistence about a globally stable equilibrium; contingent exclusion in which the first established species prevents the establishment of the other species; contingent coexistence in which coexistence or displacement of the intraguild prey depend on initial conditions; exclusion of the intraguild prey; and exclusion of the intraguild predator. Implications for biological control and community ecology are discussed.


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