Invasions in population dynamics are often characterized as either 'pushed' or 'pulled'. Biologically this is related to the Allee affect, while mathematically, this distinction is whether the front is driven by nonlinear dynamics at the front (pushed) versus linear dynamics beyond the front (pulled). In this talk, I will present a family of models in which an intermediate 'pushmi-pullyu' behavior occurs. The analysis of these models is delicate as both the nonlinear dynamics at the front and linear dynamics beyond the front play nontrivial roles. The goal of the talk is to connect disparate models (taxis, combustion, probabilistic) in this context as well as to display a few of the mathematical tools used in their study such as a new weighted Nash inequality.
De Nick Barton
De Quentin Griette
De Ada Altieri
De Mete Demircigil
De Elisa Thébault
De Jean-François Arnoldi
De Michael Scott
De Florence Bansept
De Apolline Louvet
De Vincent Bansaye
De Sébastien Lion
De Philipp Messer
De Raphael Forien
De Nicolas Vauchelet
De David MacLeod
De Cheryl Mentuda
De Léo Girardin
De Coralie Fritsch
De Adrian Lam
De Diana Fusco
De Léonard Dekens
De Oana Carja
De Sepideh Mirrahimi
De Olivier Cotto
De Benoît Henry
De Himani Sachdeva
De Florian Patout
De Ignacio Madrid Canales
De Denis Roze
De Julien Berestycki
De Sylvie Ferrari
De Vasilis Dakos
