Matrix models for the Darwinian dynamics of structured populations and some applications to the threat of extinction from climate change

Tuesday, June 5, 2018 - 11:00am - 11:50am
Lind 305
Jim Cushing (University of Arizona)
Climate change (in particular, increased mean sea surface temperature) is correlated with several significant changes in behavior among colonial seabirds on Protection Island National Wildlife Refuge. These include increased egg cannibalism, changes in reproductive timing, and breeding season length. We’ve derived and analyzed a suite of proof-of-concept models to test various hypothesized mechanisms offered to explain these observed behavioral changes. We determine conditions under which these changes are or are not adaptive by studying evolutionary versions of the models. Mathematically, this involved the need to establish some new bifurcation theorems for discrete time dynamical systems.
MSC Code: 
92D25, 92D40, 92D15