Tuesday, November 6, 2012
411 West Hall
Professor of Mathematics and Complex Systems University of Michigan
Features of fast living: On the weak selection for longevity in degenerate birth-death processes
Deterministic descriptions of dynamics of competing species with identical carrying capacities but distinct birth, death, and reproduction rates predict steady state coexistence with population ratios depending on initial conditions. Demographic fluctuations described by a Markovian birth-death model break this degeneracy. A novel large carrying capacity asymptotic theory confirmed by conventional analysis and simulations reveals a weak preference for longevity in the deterministic limit with finite-time extinction of one of the competitors on a time scale proportional to the total carrying capacity. This is joint work with Yen Ting Lin and Hyejin Kim.
NOTE: Nov. 6 Talk with Edo Kussell has been cancelled due to Huricane Sandy and will be rescheuled for Winter semester.