Asymptotic Behavior of Solutions for Competitive Models with Free Boundaries

摘要

In this paper, we study a competitive model involving two species. When thecompetition is strong enough, the two species are separated by a free boundary.If the initial data has a positive bound at infinity. We prove that thesolution will converge, as $t\rightarrow \infty$, to the traveling wavesolution and the free boundary will move to infinity with a constant speed.