The effect of local and non-local directed movement on the Allee effect
Presenter
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.