Mathematics Senior Thesis Defense
Abstract: In evolutionary game theory (EGT), a natural extension of the replicator equation -- an extension that incorporates mobility/diffusion and a spatial structure -- is a type of reaction - diffusion equation, where each species/strategy has a distinct diffusion rate and payoff. In this thesis, we study these evolutionary game dynamics with a spatial component through two different reaction - diffusion systems, both in 1D and 2D, based on previous works by Hutson, Vickers, and Cressman via computational simulation. We numerically investigate the behavior of the traveling wave in both 1D and 2D, and give criteria for the direction of the traveling wave in 2D. We also explore other nuances in the 2D case, namely turning points and wave shapes.
Wednesday, April 18 at 1:00pm to 1:45pm
Stetson Court classroom, 101
Stetson Court, Williamstown, MA, 01267
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