Network for Biological Invasions and Dispersal Research

MITACS Seminar at the University of New Brunswick, Fredericton

Friday, 3 October, 2008,

Guihong Fan

McMaster University

will speak on

Hopf Bifurcation in a delayed Predator Prey Model in the Chemostat

12:30 PM, Tilley Hall 307

Abstract: We study the dynamics of the predator-prey model in the chemostat when a discrete delay is introduced to model the time between the capture of the prey and its conversion to biomass. We use Holling type I response functions so that no oscillatory behavior is possible in the associated system when there is no delay. We prove that as the parameter modelling the delay is varied Hopf bifurcation can occur.