Propagation Dynamics for a Spatially Periodic Integrodifference Competition Model

2017/12/20 by Ruiwen Wu, Xiao‐Qiang Zhao, Wu, Ruiwen +1
Medicine · Computer Science · Mathematics · #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1712.08007

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.

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