期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 346, 期 2, 页码 415-424出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2008.05.057
关键词
non-local diffusion; persistence of traveling wave fronts; exponential quasimonotonicity; upper-lower solutions
This paper is concerned with the existence of traveling wave fronts for delayed non-local diffusion systems without quasimonotonicity, which can not be answered by the known results. By using exponential order, upper-lower solutions and Schauder's fixed point theorem, we reduce the existence of monotone traveling wave fronts to the existence of upper-lower solutions without the requirement of monotonicity. To illustrate our results, we establish the existence of traveling wave fronts for two examples which are the delayed non-local diffusion version of the Nicholson's blowflies equation and the Belousov-Zhabotinskii model. These results imply that the traveling wave fronts of the delayed non-local diffusion systems without quasimonotonicity are persistent if the delay is small. (C) 2008 Elsevier Inc. All rights reserved.
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