A dominant predator, a predator, and a prey

Abstract

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.

Keywords

• interference
• holling response functions
• predator-prey
• hopf bifurca-tions.