A dominant predator, a predator, and a prey
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Department of Mathematics and Statistics, University of North Florida, 1 UNF Drive, Jacksonville, FL 32224-2664
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Received:
01 May 2007
Accepted:
29 June 2018
Published:
01 January 2008
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MSC :
34C25, 37G15, 92D25.
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A two-predator, one-prey model in which one predator interferes
significantly with the other predator is analyzed. The dominant predator is
harvested and the other predator has an alternative food source. The response
functions used are Holling type II and they are predator-dependent and include
the effects of interference. The analysis centers on bifurcation diagrams for
various levels of interference in which the harvesting is the primary bifurcation
parameter. There are different attractors for the high-interference and no-
interference cases and these are discussed within an ecological context.
Citation: Peter A. Braza. A dominant predator, a predator, and a prey[J]. Mathematical Biosciences and Engineering, 2008, 5(1): 61-73. doi: 10.3934/mbe.2008.5.61
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Abstract
A two-predator, one-prey model in which one predator interferes
significantly with the other predator is analyzed. The dominant predator is
harvested and the other predator has an alternative food source. The response
functions used are Holling type II and they are predator-dependent and include
the effects of interference. The analysis centers on bifurcation diagrams for
various levels of interference in which the harvesting is the primary bifurcation
parameter. There are different attractors for the high-interference and no-
interference cases and these are discussed within an ecological context.
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