Su, SiZhang, Guo-Bao2021-09-282021-09-282020-05-19Su, S., & Zhang, G. B. (2020). Global stability of traveling waves for delay reaction-diffusion systems without quasi-monotonicity. <i>Electronic Journal of Differential Equations, 2020</i>(46), pp. 1-18.1072-6691https://hdl.handle.net/10877/14553This article concerns the global stability of traveling waves of a reaction-diffusion system with delay and without quasi-monotonicity. We prove that the traveling waves (monotone or non-monotone) are exponentially stable in L∞ (ℝ) with the exponential convergence rate t-1/2 e-μt for some constant μ > 0. We use the Fourier transform and the weighted energy method with a suitably weight function.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalDelay reaction-diffusion systemTraveling wavesGlobal stabilityFourier transformWeighted energy methodArticle