Resumen de Traveling wave solutions in n-dimensional delayed reaction-diffusion systems with mixed monotonicity
Yuan Lin, Qi-Ru Wang, Kai Zhou
This paper deals with the existence of traveling wave solutions for n-components delayed reaction�diffusion systems with mixed monotonicity. Based on a certain kind of mixedquasimonotonicity 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-K monotone diffusive Lotka�Volterra systems of higher dimension.
