Rutgers University                   Mathematical Physics Webinar                     November 25, 2020

Population extinction and growth on a fluctuating fitness seascape

Bertrand Ottino-Loffler


Outline

I.     Introduction to population growth: Logistic curve and generalizations, migration and stochasticity (demographic and seascape)

II.    Mean field approach: self-consistent steady state distributions

III.   Neutral fitness landscape: broad power-law distributions from stochasticity

IV.    Extinction on a seascape: New universality class and its limits

V.    Growth/decay on a seascape: Richard's equation

VI.  Summary