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X. Zou and J. Wu, “Existence of Traveling Wavefronts in Delayed Reaction-Diffusion System via Monotone Itera tion Method,” Proceedings of the American Mathematical Society, Vol. 125, 1997, pp. 2589-2598. doi:10.1090/S0002-9939-97-04080-X

has been cited by the following article:

• TITLE: Traveling Wavefronts on Reaction Diffusion Systems with Spatio-Temporal Delays

  AUTHORS: Xinli Han, Lijun Pan

  KEYWORDS: Schauder’s Fixed Point Theorem; Traveling Wave Fronts; Reaction-Diffusion; Spatio-Temporal Delays

  JOURNAL NAME: Applied Mathematics, Vol.4 No.9, August 30, 2013

  ABSTRACT: By using Schauder’s Fixed Point Theorem, we study the existence of traveling wave fronts for reaction-diffusion systems with spatio-temporal delays. In our results, we reduce the existence of traveling wave fronts to the existence of an admissible pair of upper solution and lower solution which are much easier to construct in practice.