Lyapunov Exponents of Random Linear Parabolic Equations and Applications in Biology

Prof. Wenxian Shen

Department of Mathematics
Auburn University

April 1, 2005
202 Madison Hall
3:00 PM (Coffee and Cookies at 2:30)

Abstract

Abstract: In the current talk, I will first present some theories about the so called principal Lyapunov exponents of random linear parabolic equations, which serve as an analog of principal eigenvalues of linear elliptic operators. Applications to the dynamics in random Kolmogorov growth model and Kolmogorov competition model are then discussed. It is found that heterogeneous environment always "favors" population's persistence.