Date/Time Date(s) - 31/10/20242:30 pm - 3:30 pm
Location: Hamilton Hall 410 (Hybrid)
Speaker: Dr. Susmita Sadhu
Affiliation: Dr. Susmita Sadhu is a professor of mathematics at Georgia College & State University. Dr. Sadhu researches regime shifts, stochasticity, ecological population dynamics, and dynamical systems.
Title: Early warning signals of regime shifts in a two-timescale predator-prey model
Abstract: Identifying early warning signals of regime shifts or abrupt dramatic changes in ecosystems has been crucial than ever before. Often such transitions are preceded by long transient dynamics. In this talk, I will discuss mathematical techniques to analyze long transient dynamics preceding a catastrophic collapse or a sudden outbreak in a class of singularly perturbed three-dimensional predator-prey models with explicit competition between the predators. I will address the underlying dynamical mechanism leading to the long transients and use tools from singular perturbation theory to analyze them. The analysis is then used to devise early warning signals of dramatic population transitions in the system. I will end with some preliminary analysis on extending the results to stochastic settings.