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Propagation Dynamics for a Spatially Periodic Integrodifference Competition Model (1712.08007v1)
Published 20 Dec 2017 in math.DS
Abstract: In this paper, we study the propagation dynamics for a class of integrodifference competition models in a periodic habitat. An interesting feature of such a system is that multiple spreading speeds can be observed, which biologically means different species may have different spreading speeds. We show that the model system admits a single spreading speed, and it coincides with the minimal wave speed of the spatially periodic traveling waves. A set of sufficient conditions for linear determinacy of the spreading speed is also given.