The classical Lotka-Volterra system that describes predator – prey interaction and is one of the cornerstones of mathematical ecology. An extension of the original Lotka- Volterra system that aims at showing how territories are formed as a result of strong competition between packs of predators.
Professor Berestycki defines himself as a mathematician in dialogue with other fields of knowledge. He has worked in several areas motivated by physics, in particular scalar field equations, reactive flows and combustion. More recently, he has been involved in research motivated by questions in social sciences, such as economics and finance and collective behaviors. Professor Berestycki’s Lonseth Lecture reflects his interest in modeling problems in ecology and reaction-diffusion equations.