Open Access
2013 Traveling Wavefronts of Competing Pioneer and Climax Model with Nonlocal Diffusion
Xiaojing Yu, Peixuan Weng, Yehui Huang
Abstr. Appl. Anal. 2013: 1-12 (2013). DOI: 10.1155/2013/725495

Abstract

We study a competing pioneer-climax species model with nonlocal diffusion. By constructing a pair of upper-lower solutions and using the iterative technique, we establish the existence of traveling wavefronts connecting the pioneer-existence equilibrium and the coexistence equilibrium. We also discuss the asymptotic behavior of the wave tail for the traveling wavefronts as s = x + c t .

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Xiaojing Yu. Peixuan Weng. Yehui Huang. "Traveling Wavefronts of Competing Pioneer and Climax Model with Nonlocal Diffusion." Abstr. Appl. Anal. 2013 1 - 12, 2013. https://doi.org/10.1155/2013/725495

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1272.92044
MathSciNet: MR3049328
Digital Object Identifier: 10.1155/2013/725495

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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