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Published on: November 8, 2018
The dynamics of the schoener-polis-holt model of intra-guild predation
Eric Ruggieri1, Sebastian J Schreiber
1Department of Mathematics, Providence College, Providence, Rhode Island 02918. eruggi05@providence.edu.
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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