Speaker: Dr. Cindy Greenwood (Professor Emerita, University of British Columbia)
Location: Hamilton Hall, Room 410 & Zoom
Title: A stochastic mechanism causing long and short transients near a bifurcation point
Abstract: When a bifurcation parameter in a deterministic model becomes a stochastic process, additional new stochastic processes may arise near a critical parameter value. By examining sample paths of a population model with a strong Allee effect in which the bifurcation parameter is defined as an Ornstein- Uhlenbeck (OU) process, we find that transient times before extinction may be extended or shortened according to excursions of the OU process. We find the distributions of transient times as they depend on process parameters.
