This was part of Mean-Field Models for Interacting Agents
The effect of local and non-local directed movement on the Allee effect
Nancy Rodriguez, University of Colorado Boulder
Tuesday, November 2, 2021
Abstract: The use of PDEs to model social and ecological complex systems has been popularized in the past decades. 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 local directed movement of populations subject to the Allee Effect. Particularly, we will discuss whether directed movement can help a population overcome the Allee effect in the case of bounded and unbounded domains. I also discuss what happens under competition. Finally, I will present some related results for local and non-local aggregation equations with an Allee-effect.