Features of fast living: On the weak selection for longevity in<br/><br/>degenerate birth-death processes

Thursday, October 25, 2012 - 2:00pm - 2:50pm
Keller 3-180
Charles Doering (University of Michigan)
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