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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

A predator-prey model in the chemostat with Ivlev functional response

Bolger, Tedra 09 1900 (has links)
It has been shown that the classical Rosenzweig-MacArthur predator-prey model is sensitive to the functional form of the predator response. To see if this sensitivity remains in the highly controlled environment of the chemostat, we use a predator-prey model with three trophic levels and a Holling type II predator response function. We first focus on the analysis of the model using an Ivlev functional response. Local and global dynamics are studied, with global stability of the coexistence equilibrium point obtained under certain conditions. Bifurcation analysis reveals the existence of a stable periodic orbit that appears via a super-critical Hopf bifurcation. The uniqueness of this periodic orbit is explored. Finally, we make comparisons between the dynamics of the model with Ivlev response and Monod response, both of which have nearly identical graphs. The same sensitivity to functional form is observed in the chemostat as in the classical model. / Thesis / Master of Science (MSc)

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