Title: Propagation Phenomena for a Reaction-Advection-Diffusion Competition Model in a Periodic Habitat
Speaker: Xiaoqiang Zhao (Memorial University of Newfoundland)
Abstract: In this talk, I will report our recent research on a reaction-advection-diffusion competition model in a periodic habitat. We first investigate the global attractivity of a semi-trivial steady state (i.e., the competitive exclusion) for the periodic initial value problem. Then we establish the existence of the rightward spreading speed and its coincidence with the minimal wave speed for spatially periodic rightward traveling waves. Further, we obtain a set of sufficient conditions for the rightward spreading speed to be linearly determinate. Finally, we apply the obtained results to a prototypical reaction-diffusion model. Our method involves monotone semiflows, principal eigenvalues, lower and upper solutions. We also extend this work to the time and space periodic case.
Seminar URL: https://research.math.osu.edu/pde/
