Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 270, Issue -, Pages 664-693Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2020.08.016
Keywords
Traveling waves; Speed selection; Lotka-Volterra; Periodic habitat
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Funding
- Canada NSERC [RGPIN-2016-04709]
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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.
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.
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