A dominant predator, a predator, and a prey
A two-predator, one-prey model in which one predator interferessignificantly with the other predator is analyzed. The dominant predator isharvested and the other predator has an alternative food source. The responsefunctions used are Holling type II and they are predator-dependent and includethe eff...
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| Format: | Article |
| Language: | English |
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AIMS Press
2007-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.61 |
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| _version_ | 1832590182210076672 |
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| author | Peter A. Braza |
| author_facet | Peter A. Braza |
| author_sort | Peter A. Braza |
| collection | DOAJ |
| description | A two-predator, one-prey model in which one predator interferessignificantly with the other predator is analyzed. The dominant predator isharvested and the other predator has an alternative food source. The responsefunctions used are Holling type II and they are predator-dependent and includethe effects of interference. The analysis centers on bifurcation diagrams forvarious levels of interference in which the harvesting is the primary bifurcationparameter. There are different attractors for the high-interference and no-interference cases and these are discussed within an ecological context. |
| format | Article |
| id | doaj-art-4cb01b848eb146c58e2a5e5493e08d01 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2007-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-4cb01b848eb146c58e2a5e5493e08d012025-01-24T01:57:50ZengAIMS PressMathematical Biosciences and Engineering1551-00182007-12-0151617310.3934/mbe.2008.5.61A dominant predator, a predator, and a preyPeter A. Braza0Department of Mathematics and Statistics, University of North Florida, 1 UNF Drive, Jacksonville, FL 32224-2664A two-predator, one-prey model in which one predator interferessignificantly with the other predator is analyzed. The dominant predator isharvested and the other predator has an alternative food source. The responsefunctions used are Holling type II and they are predator-dependent and includethe effects of interference. The analysis centers on bifurcation diagrams forvarious levels of interference in which the harvesting is the primary bifurcationparameter. There are different attractors for the high-interference and no-interference cases and these are discussed within an ecological context.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.61interferenceholling response functionspredator-preyhopf bifurca-tions. |
| spellingShingle | Peter A. Braza A dominant predator, a predator, and a prey Mathematical Biosciences and Engineering interference holling response functions predator-prey hopf bifurca-tions. |
| title | A dominant predator, a predator, and a prey |
| title_full | A dominant predator, a predator, and a prey |
| title_fullStr | A dominant predator, a predator, and a prey |
| title_full_unstemmed | A dominant predator, a predator, and a prey |
| title_short | A dominant predator, a predator, and a prey |
| title_sort | dominant predator a predator and a prey |
| topic | interference holling response functions predator-prey hopf bifurca-tions. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.61 |
| work_keys_str_mv | AT peterabraza adominantpredatorapredatorandaprey AT peterabraza dominantpredatorapredatorandaprey |