Colloquium


DATE2017-12-07 16:10-17:00

PLACE數學館3174教室

SPEAKER郭忠勝 教授(淡江大學數學系

TITLESpatio-Temporal Oscillation for A Singular Predator-Prey Model

ABSTRACT We study an initial boundary value problem for a reaction-diffusion system arising in the study of a singular predator-prey system. Under an assumption on the growth rates, we first prove that the unique co-existence state is a center for the kinetic system. Then we prove that solutions of the diffusion system with equal diffusivity become spatially homogeneous and are subject to the kinetic part asymptotically. (This talk is based on a joint work with Masahiko Shimojo)