<p> We consider a model of the chemostat in which three competitor populations compete
for a single, essential, growth-limiting nutrient. As well, the least efficient competitor population also acts as a predator on the most efficient competitor population. Bifurcation
methods are used to obtain information about the qualitative behaviour of the model. A complete description of the global stability is given for the case when Lotka-Volterra response functions describe both competitor-nutrient and predator-prey interactions. For certain parameter values, the model predicts coexistence of the three species. The model also shows that the elimination of the predator population or the elimination of a competitor population can cause the system to collapse from three species to one.</p> / Thesis / Master of Science (MSc)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/22635 |
| Date | 01 1900 |
| Creators | Daoussis, Spiro Paul |
| Contributors | Wolkowicz, G. S. K., Mathematics |
| Source Sets | McMaster University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis |
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