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Spreading Speeds for Two Species Competition Systems in Time Almost Periodic and Space Periodic Media

Spreading Speeds for Two Species Competition Systems in Time Almost Periodic and Space Periodic... The current paper is devoted to the study of the spreading speeds of two species competition diffusion-advection systems in time almost periodic and space periodic media. We first show that there is a finite spreading speed interval for such diffusion-advection systems. The principal Lyapunov exponent and the principal Floquent bundle theory have been applied to study the spreading speed of time almost periodic and space periodic systems. Under some sufficient conditions, we prove that the spreading speed interval of such systems in any direction is a singleton in the partially spatially homogeneous case and the general case, respectively. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Spreading Speeds for Two Species Competition Systems in Time Almost Periodic and Space Periodic Media

Acta Applicandae Mathematicae , Volume 171 (1) – Dec 15, 2020

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References (49)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature B.V. part of Springer Nature 2020
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-020-00376-0
Publisher site
See Article on Publisher Site

Abstract

The current paper is devoted to the study of the spreading speeds of two species competition diffusion-advection systems in time almost periodic and space periodic media. We first show that there is a finite spreading speed interval for such diffusion-advection systems. The principal Lyapunov exponent and the principal Floquent bundle theory have been applied to study the spreading speed of time almost periodic and space periodic systems. Under some sufficient conditions, we prove that the spreading speed interval of such systems in any direction is a singleton in the partially spatially homogeneous case and the general case, respectively.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Dec 15, 2020

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