Branching Brownian motion with decay of mass and the non-local Fisher-KPP equation
The non-local variant of the celebrated Fisher-KPP equation describes the growth and spread of population in which individuals diffuse, reproduce and – crucially – interact through a non-local competition mechanism. This type of equation is intrinsically harder to study than the classical Fisher-KPP equation because we lose such powerful tools as the comparison principle and the maximum principle. In this talk, I will show how this equation arises as the hydrodynamic limit of a particle system -the branching Brownian motion with decay of mass, and use this to study front propagation behaviours.
This is based on joint work with Louigi Addario-Berry and Sarah Penington.
5 November 2018, 12:00 (Monday, 5th week, Michaelmas 2018)
Mathematical Institute, Woodstock Road OX2 6GG
Julien Berestycki (University of Oxford)
Department of Statistics
Christina Goldschmidt (Department of Statistics, University of Oxford),
James Martin (Department of Statistics, University of Oxford)