CMU Campus
Center for                           Nonlinear Analysis
CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact
CNA Seminar
Charles R Doering
University of Michigan
Title: Features of fast living: On the weak selection for longevity in degenerate birth-death processes

Abstract: 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.

Date: Thursday, December 6, 2012
Time: 1:30 pm
Location: WEH 7218
Submitted by:  Gautam Iyer