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Explore the asymptotic analysis of a nonlinear integro-differential equation modeling evolutionary dynamics in sexually reproducing populations subject to selection and competition in this 42-minute conference lecture. Examine how sexual reproduction is modeled through a nonlinear integral term using Fisher's infinitesimal model, and discover the characterization of steady states and their stability analysis within a small variance regime. Learn about the spectral analysis methodology involving Hermite polynomials that reveals the specific structure of the nonlinear reproduction term, providing insights into quantitative genetics applications. Gain understanding of advanced mathematical techniques applied to biological population dynamics through collaborative research findings presented at the Workshop on Modelling Diffusive Systems: Theory & Biological Applications.
