SPREADING SPEED AND TRAVELING WAVES FOR A TWO-SPECIES WEAK COMPETITION SYSTEM WITH FREE BOUNDARY

摘要

In this paper, we will focus on the spreading speed for a Lotka-Volterra type weak competition model with free boundary in one-dimensional habitat. Based on the comparison principle for free boundary problems, we provide some estimates of the spreading speed. Also, we deal with traveling wave solutions for the same model and show that there exists a traveling wave solution with monotone profile using a shooting method and the Schauder's fixed point theorem.