Rutgers University                   Mathematical Physics Webinar                     February 15, 2023

Competition at the front of expanding populations

Jordan Horowitz, Daniel Swartz

Hyunseok Lee, Kirill Korolev


Outline

I.      Range Expansion: Bacteria growing into new environment; models with and without a rough front

II.     Drift of boundaries on a sloped surface

III.   Competition & invasion, Fisher waves (pulled/pushed)

IV.    Morphologies of competitive growth

V.    Speed of invasion on a growing front

VI.    Cole-Hopf mapping: growth on an undulating substrate

VII.  Summary