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Traveling wave solutions in nonlocal delayed reaction‐diffusion systems with partial quasimonotonicity.

Authors :
Li, Kun
Li, Xiong
Source :
Mathematical Methods in the Applied Sciences. Oct2018, Vol. 41 Issue 15, p5989-6016. 28p.
Publication Year :
2018

Abstract

In this paper, we establish the existence of traveling wave solutions in nonlocal delayed reaction‐diffusion systems with partial quasimonotonicity. The method is based on Schauder's fixed point theorem and the cross‐iteration scheme. We also present some applications of our results to diffusive and competition‐cooperation system with nonlocal delays by choosing 3 different kernels. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
41
Issue :
15
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
131662387
Full Text :
https://doi.org/10.1002/mma.5114