MR3157152 Zhihong ZHAO and Erhua RONG Zhihong ZHAO and Erhua RONG Traveling Wave for Reaction Diffusion Equation with Spatio-Temporal Delay Funkcialaj Ekvacioj. Serio Internacia 56 2013 507--517 http://fe.math.kobe-u.ac.jp/FE/FullPapers/56-3/56_507.pdf http://www.ams.org/mathscinet-getitem?mr=MR3157152 In this paper, we study the traveling wave fronts of reaction diffusion system with spatio-temporal delay. With some particular delay kernel, the nonlocal equation is reduced to a system of singularly perturbed ODEs. It is proved, by use of geometric singular perturbation analysis and Fredholm theory, that the traveling wave front persists when the delay is suitably small and it is qualitatively similar to those of the undelayed reaction diffusion system. Reaction diffusion system, Spatio-temporal delay, Traveling wave front, Singular perturbation analysis. Fredholm theory. 35K10, 35K57. 56-507 2013 Traveling Wave for Reaction Diffusion Equation with Spatio-Temporal Delay Zhihong ZHAO and Erhua RONG Zhihong ZHAO and Erhua RONG
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