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Shanahan 3465, Harvey Mudd College

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301 Platt Blvd.
Claremont, CA 91711 United States

September 2018

Reaction-Diffusion Equations under Perturbations of the Domain (Professor Jose Arrieta, Universidad Complutense de Madrid, Spain)

September 27, 2018 @ 1:15 pm - 2:15 pm
Shanahan 3465, Harvey Mudd College, 301 Platt Blvd.
Claremont, CA 91711 United States
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We analyze the behavior of the asymptotic dynamics of dissipative reaction-diffusion equations with Neumann boundary conditions when the domain where the equation is posed undergoes certain perturbation. We will focus on the behavior of the stationary solutions, their local unstable manifolds and the attractors. We will consider "regular" perturbations of the domain, that is, perturbations for which the spectra of the Laplace operator behaves continuously. In this case, it turns out that if all the equilibria of the unperturbed system…

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November 2018

Crossing the Threshold: The Role of Demographic Stochasticity in the Evolution of Cooperation (Tom LoFaro, Gustavus Adolphus College)

November 8, 2018 @ 4:15 pm - 5:15 pm
Shanahan 3465, Harvey Mudd College, 301 Platt Blvd.
Claremont, CA 91711 United States
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When Charles Darwin began writing “On the Origin of Species” he knew that explaining cooperative behavior in the context of “survival of the fittest” was problematic.  In fact, this apparent contradiction puzzled ecologists for many years after.  In this talk we will discuss a mathematical model of the evolution of cooperation developed by Doebeli, Blarer, and Ackermann that incorporates ideas from game theory into a standard population genetics model.  We will show that if the model is viewed deterministically then…

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