Article ID Journal Published Year Pages File Type
4639437 Journal of Computational and Applied Mathematics 2013 12 Pages PDF
Abstract

This paper deals with the existence of traveling wave solutions for nn-components delayed reaction–diffusion systems with mixed monotonicity. Based on a certain kind of mixed-quasimonotonicity reaction terms of higher dimension, we propose new conditions on the reaction terms and new definitions of upper and lower solutions. By using Schauder’s fixed point theorem and a cross-iteration scheme, we reduce the existence of traveling wave solutions to the existence of a pair of upper and lower solutions. The general results obtained will be applied to type-KK monotone diffusive Lotka–Volterra systems of higher dimension.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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