Dynamics of intraguild predation models
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Date
2014
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University of New Brunswick
Abstract
Intraguild predation combines two fundamental interactions between species:
predation and competition, and is very common in nature. The intraguild
predation module contains an intraguild predator, an intraguild prey and
their shared resource. Both predation and competition occur between the
intraguild predator and intraguild prey since the intraguild predator preys
on the intraguild prey, and they both compete for their shared resource. It
has been recognized that intraguild predation has significant impacts on the
distribution, abundance, persistence and evolution of the species involved.
In this dissertation, the dynamics of three intraguild predation models are
investigated. I show that intraguild predation models can undergo a new
global bifurcation, basin boundary bifurcation, and a torus bifurcation. I also
show that the time delay in interguild predation models can induce stability
switches and chaos.
A review of the existing work on intraguild predation is given in Chapter 1.
For convenience, some basic mathematical concepts and results on dynamic
systems are also given in Chapter 1.