2008, 5(1): 61-73. doi: 10.3934/mbe.2008.5.61

A dominant predator, a predator, and a prey

1. 

Department of Mathematics and Statistics, University of North Florida, 1 UNF Drive, Jacksonville, FL 32224-2664, United States

Received  May 2007 Revised  August 2007 Published  January 2008

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. Mathematical Biosciences & Engineering, 2008, 5 (1) : 61-73. doi: 10.3934/mbe.2008.5.61
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