Department of Mathematics
Competition in the chemostat
Lin Wang
University of Victoria
In this talk, a chemostat model with general nonmonotone response functions is considered. The nutrient conversion process involves time delay. It is shown that under certain conditions, when several species with differential removal rates compete in the chemostat for a single resource that is allowed to be inhibitory at high concentrations, the competitive exclusion principle holds. In addition, a local stability analysis is provided that includes sufficient conditions for the bistability of the single species survival equilibrium and the washout equilibrium, thus showing initial condition dependent outcome is possible. Some related questions suitable for undergraduate students and graduate students will also be presented.
All interested persons are welcome.
The talk will be accessible to upper class students.