Analysis, Dynamics and Applications Seminar

First, I will give an overview of a methodology (called Darwinian dynamics or evolutionary game theory) for introducing evolution by natural selection into any population dynamic model . I will focus on discrete time models for structured populations, but the methodology straightforwardly applies to differential equation models as well. Second, I will describe a general bifurcation theorem that addresses the fundamental question of (deterministic) extinction versus survival that I recently published. Finally, I will give an example and application (or two, depending on time). I'll close by briefly listing several projects utilizing the methodology on which several of my students (undergraduate, graduate, & postdoc) and colleagues have collaborated or are currently collaborating.

Place:  Hybrid: Math, 402 and  Zoom: https://arizona.zoom.us/j/81150211038         Password: “arizona”