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Nancy Rodriguez: A story on relocation strategies, the Allee effect, and the Ideal Free Distribution

Submitted by Jorge Cisneros on April 14, 2020 - 12:02pm
Nancy Rodriguez

Speaker: Nancy Rodriguez, University of Colorado Boulder

Date: April 23, 2020

Title: A story on relocation strategies, the Allee effect, and the Ideal Free Distribution

Abstract: It is well known that relocation strategies in ecology and in economics can make the difference between extinction and persistence. In this talk, I present a unifying model for the dynamics of ecological populations and street vendors, an important part of many informal economies. I discuss the effects of chemotactic movement of populations subject to the Allee effect by discussing the existence of equilibrium solutions subject to various boundary conditions and the evolution problem when the chemotaxis effect is small.  On an interesting note, I present numerical simulations, which show that in fact chemotaxis can help overcome the Allee effect as well as some partial analytical results in this direction. I will conclude by making a connection to the Ideal Free Distribution and analyze what happens under competition, showing that the Ideal Free Distribution is locally evolutionarily stable.

YouTube: https://www.youtube.com/watch?v=b-l7Z9PCCSc

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