Mathematical Biology Seminar Blake Barker, Brigham Young University, Tueday, March 4, 2025 2:00pm in LCB 215 Rate-Induced Tipping in a Moving Habitat Abstract: We consider a scalar reaction-diffusion equation with a non-autonomous reaction term representing a spatially localized, single-species, favorable habitat zone moving from one location to another. We identify a critical displacement value above which tipping occurs, and we demonstrate in this scenario the existence of a critical rate at which the system undergoes rate-induced tipping. That is, we identify a critical rate above which an initially thriving habitat population becomes extinct due to the habitat changing too rapidly.