# Of Predators and Prey

# Of Predators and Prey

**Abstract**: The classical Lotka‐Volterra model that describes predator – prey

interaction is one of the cornerstones of mathematical ecology. In this lecture I will

introduce this system and recall some of its main features. I will then present 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.

**Biography**: Professor Henri Berestycki is chair of Mathematical analysis and

modelling at the School of Higher Studies in Social Sciences (EHESS). He is a

mathematician working in the area of non‐linear partial differential equations

covering both fundamental developments in this theory and applications to

different disciplines. 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 reactiondiffusion

equations.

Before joining EHESS, which he directs, Professor Berestycki held positions at the

Pierre et Marie Curie University, the Ecole Normale Supériere and was a Visiting

Professor at the University of Chicago. His awards and recognition include being a

Knight of the French Legion of Honor and recipient of the Sophie Germain prize

given by the French Academy of Sciences, Fellow of the American Mathematical
Society and Member of the American Academy of Arts and Sciences.