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Mathematical Biosciences and Engineering

2008, Volume 5, Issue 1: 61-73. doi: 10.3934/mbe.2008.5.61
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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
  • Received: 01 May 2007 Accepted: 29 June 2018 Published: 01 January 2008

  • MSC : 34C25, 37G15, 92D25.

  • 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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  • 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.


  • This article has been cited by:

    1. K. Shiva Reddy, M.N. Srinivas, C.V. Pavan Kumar, Dynamics of a two prey and one predator system with time interruption and random fluctuations, 2016, 18, 24058823, 150, 10.1016/j.psra.2016.10.002
    2. Kulbhushan Agnihotri, Sheenu Nayyer, Stability analysis of a predator (bird) –prey (fish) harvesting model in the reserved and unreserved area, 2018, 06, 23193786, 678, 10.26637/MJM0603/0032
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  • © 2008 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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