The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation
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Department of Mathematics, Providence College, Providence, Rhode Island 02918
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Department of Mathematics, College of William and Mary, P.O. Box 8795, Williamsburg, VA 23187-8795
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Received:
01 October 2004
Accepted:
29 June 2018
Published:
01 March 2005
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MSC :
92D40.
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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.
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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Abstract
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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