The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation
Intraguild predation occurs when one species (theintraguild predator) predates on and competes with another species(the intraguild prey). A classic model of this interaction wasintroduced by Gary Polis and Robert Holt building on a model ofcompeting species by Thomas Schoener. A global analysis reve...
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AIMS Press
2005-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.279 |
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| author | Eric Ruggieri Sebastian J. Schreiber |
| author_facet | Eric Ruggieri Sebastian J. Schreiber |
| author_sort | Eric Ruggieri |
| collection | DOAJ |
| description | Intraguild predation occurs when one species (theintraguild predator) predates on and competes with another species(the intraguild prey). A classic model of this interaction wasintroduced by Gary Polis and Robert Holt building on a model ofcompeting species by Thomas Schoener. A global analysis reveals thatthis model exhibits generically six dynamics: extinction of one orboth species; coexistence about a globally stable equilibrium;contingent exclusion in which the first established species preventsthe establishment of the other species; contingent coexistence inwhich coexistence or displacement of the intraguild prey depend oninitial conditions; exclusion of the intraguild prey; and exclusionof the intraguild predator. Implications for biological control andcommunity ecology are discussed. |
| format | Article |
| id | doaj-art-bce1b73563a542bb8041b9d9d18756ed |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-bce1b73563a542bb8041b9d9d18756ed2025-01-24T01:48:05ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-02-012227928810.3934/mbe.2005.2.279The Dynamics of the Schoener-Polis-Holt model of Intra-Guild PredationEric Ruggieri0Sebastian J. Schreiber1Department of Mathematics, Providence College, Providence, Rhode Island 02918Department of Mathematics, College of William and Mary, P.O. Box 8795, Williamsburg, VA 23187-8795Intraguild predation occurs when one species (theintraguild predator) predates on and competes with another species(the intraguild prey). A classic model of this interaction wasintroduced by Gary Polis and Robert Holt building on a model ofcompeting species by Thomas Schoener. A global analysis reveals thatthis model exhibits generically six dynamics: extinction of one orboth species; coexistence about a globally stable equilibrium;contingent exclusion in which the first established species preventsthe establishment of the other species; contingent coexistence inwhich coexistence or displacement of the intraguild prey depend oninitial conditions; exclusion of the intraguild prey; and exclusionof the intraguild predator. Implications for biological control andcommunity ecology are discussed.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.279ecologynonlinear dynamicsintraguild predation. |
| spellingShingle | Eric Ruggieri Sebastian J. Schreiber The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation Mathematical Biosciences and Engineering ecology nonlinear dynamics intraguild predation. |
| title | The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation |
| title_full | The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation |
| title_fullStr | The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation |
| title_full_unstemmed | The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation |
| title_short | The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation |
| title_sort | dynamics of the schoener polis holt model of intra guild predation |
| topic | ecology nonlinear dynamics intraguild predation. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.279 |
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