Abstract
In this paper, we investigate a reaction-diffusion-advection competition system, with one of the two species is a superior competitor, and the other is an inferior competitor. In this system, the double free boundaries represent the expanding front in a one-dimensional habitat. The main goal is to understand the effect of small advection term on the dynamics of the two species through double free boundaries. First, we provide the long time behavior of the species. Besides, we get a spreading-vanishing dichotomy and criteria governing spreading and vanishing. Furthermore, when spreading occurs, the asymptotic spreading speeds of double free boundaries are estimated.
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