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Mathematical Biosciences and Engineering
Article . 2008 . Peer-reviewed
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Mathematical Biosciences & Engineering
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https://dx.doi.org/10.3934/mbe...
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A dominant predator, a predator, and a prey

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2008 English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Mathematical Biosciences and Engineering, volume 5, pages 61-73 (issn: 1551-0018, Copyright policy )
Authors: Peter A. Braza;

doi: 10.3934/mbe.2008.5.61

pmid: 18193931

A dominant predator, a predator, and a prey

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.

Related Organizations
Keywords

Competitive Behavior, Food Chain, Population Dynamics, interference, Models, Biological, Predatory Behavior, holling response functions, hopf bifurca-tions., QA1-939, Animals, Computer Simulation, predator-prey, TP248.13-248.65, Mathematics, Ecosystem, Biotechnology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold