Spreading dynamics of a Lotka-Volterra competition model in periodic habitats

Spreading speed of spatio-temporal nonlinear dynamical system can sometimes be determined either by its corresponding linear system with an explicit speed formula, or by the complicated nonlinear system itself with the existence of a pushed wavefront. In this paper, the spreading speed (the minimal speed of wavefronts) for a Lotka-Volterra competition model in spatially periodic habitats is investigated. We establish new results on the linear and nonlinear selections in terms of the spatio-periodic coefficient functions. In the case of nonlinear selection, lower and upper bound estimates of the minimal speed are provided. (C) 2020 Elsevier Inc. All rights reserved.

Automated summary

This paper investigates the spreading speed of a Lotka-Volterra competition model in spatially periodic habitats, providing new results on linear and nonlinear selections based on the spatio-periodic coefficient functions. Lower and upper bound estimates of the minimal speed are given in the case of nonlinear selection.