Biological models of predator-prey interaction have been shown to have high
sensitivity to the functional form of the predator response (see [3]). Chemo-
stat models with competition have been shown to be robust under various
forms of response function (see [15]). The fcus here is restricted to a simple
chemostat model with predator-prey dynamics. Several functional responses
of Holling Type II form are considered. The sensitivity of dynamics to our
choice of functional form is demonstrated by way of bifurcation theory. These
results should be a warning to modelers, since by data collection and curve-
fitting alone it is impossible to determine the exact functional form of the
predator response function. / Thesis / Master of Science (MSc)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/22231 |
| Date | January 2017 |
| Creators | Eastman, Brydon |
| Contributors | Wolkowicz, Gail, Mathematics |
| Source Sets | McMaster University |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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