Math Colloquium Series looks at Using Slow-Fast Dynamical Systems to Understand Regime Shifts in Ecology

On Friday, October 4, University of Miami Research Faculty member Ting-Hao Hsu, Ph.D. will present a seminar entitled, “Using Slow-Fast Dynamical Systems to Understand Regime Shifts in Ecology”. In ecology, regime shifts are continual rapid change between different long-lasting dynamics. For instance, rapid evolutionary changes have been observed in a wide variety of organisms, both in predators and in prey. Another example is disease outbreak, where a system exhibits qualitative changes after long periods of apparent quiescence. Using the theory of slow-fast dynamics, for systems of differential equations with sufficiently large separation of time scales we derive conditions under which regime shifts occur

This is joint work with Shigui Ruan and Gail Wolkowicz. 

Halmos College of Natural Sciences and Oceanography department of mathematics hosts the mathematics colloquium series in Parker Building, Room 301. For more information about the math colloquium series, please contact mathematics faculty member Jing Chen, Ph.D. (jchen1@nova.edu) or Evan Haskell (haskell@nova.edu).