Abstract
In this paper, we study a diffusive competition model with seasonal succession and different free boundaries. Two free boundaries represent the expanding front of species u and v, respectively, and the time periodicity accounts for the effect of two different seasons. We first prove the existence and uniqueness of global solutions. Under the weak competition assumption, we then study the long-time behaviors and sharp criteria for spreading and vanishing. Moreover, sharper estimates of asymptotic speeds of (g,h) and asymptotic spreading speeds of (u,v) are also given.
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