Asymptotic Analysis for Selection-Mutation Models: Locations and Weights of Limit Singular Measures

Explore the asymptotic analysis of selection-mutation models in structured populations through this 26-minute lecture by Camille Pouchol from the University of Paris. Delve into the detailed examination of a simple integrodifferential equation describing logistic population growth. Discover how Laplace's formula can be used to characterize limit measures and their dependence on initial conditions and local concavity of the fitness function. Learn about the vanishing viscosity approach and its implications for uniqueness of limit measures. Gain insights into recent developments, including the addition of advection terms to the integro-differential equation. Understand the connections between this work and collaborations with researchers from Politecnico di Torino and Sorbonne Université.